90. Thermal analysis of MHD hybrid nanofluid on stretching/shrinking non-parallel walls with uncertain volume fractions, Journal of Multiscale Modelling,(With P.Satanpara), (2023) (IF: 1.5) ( Journal Rank: Q3 ).
89. Analysis of MHD tangent hyperbolic hybrid nanofluid flow with different base fluids over a porous stretched sheet, Journal of Taibah University for Science,(With V.Prajapati), (2023) ( SCI IF: 3.3) ( Journal Rank: Q2 ).
86. Numerical investigation on MHD Jeffery Hamel nano-fluid flow with different nanoparticles using Fuzzy Extension of Generalized dual parametric homotopy Algorithm, Journal of Central South University, (With L.Verma), (2023) (SCI IF: 4.4) ( Journal Rank: Q1 ).(Springer)
85. Fuzzy computational study on the generalized fractional smoking model with Caputo gH-type derivatives, International Journal of Biomathematics, (With L.Verma), (2023) (SCI IF: 2.129) ( Journal Rank: Q1 ).(World Scientific)
84. Study on effects of uncertain volume fraction on Jeffery-Hamel nano-fluid flow using Fuzzy Homotopy analysis method, International Journal of Applied and Computational Mathematics,(With L.Verma), (2023) (SCOPUS) ( Journal Rank: Q2 ).(Springer)
83. Study on temporal-fuzzy fractional p-KdV equation with non-singular Mittag Leffler kernel, Mathematical Modelling and Analysis, (With A. Kumar), (2023) (SCI IF: 1.603) ( Journal Rank: Q1 ).(Taylor and Francis)
82. Numerical study on uncertain effects of shapes and heat transfer on MHD nanofluid flow with a fuzzy volume fraction, Pramana - Journal of Physics, (With L.Verma), (2023) (SCI IF: 2.669) ( Journal Rank: Q2 ).(Springer)
79. Solution of generalised fuzzy fractional Kaup-Kuperschmidt equation using a robust multi-parametric approach and a novel transform, Mathematics and Computers in Simulation, (With P. Sartanpara)(2022) (SCI IF: 3.601) (Journal Rank: Q2 ).(Elsevier) https://doi.org/10.1016/j.matcom.2022.10.020
78. Study on generalised fuzzy fractional human liver model with Atangana-Baleanu Caputo fractional derivative,The European Physical Journal Plus, (With L.Verma )(2022) (SCI IF: 3.91) (Journal Rank: Q2 ) (Springer), https://doi.org/10.1140/epjp/s13360-022-03396-x
76. A robust analytical approach to the generalized Burgers–Fisher equation with fractional derivatives including singular and non-singular kernels,Journal of Ocean Engineering and Sciences, (With Vishalkumar J.Prajapati )(2022) (SCI IF: 7.1) (Elsevier) https://doi.org/10.1016/j.joes.2022.06.035. (Journal Rank: Q2 )
74. The generalized time-fractional Fornberg-Whitham equation: An analytic approach, Partial Differential Equations in Applied Mathematics, (With P. Sartanpara)(2022) (ESCI,Scopus) (Elsevier)https://doi.org/10.1016/j.padiff.2022.100350.
73. Solution for generalized fuzzy time-fractional Fisher’s equation using a robust fuzzy analytical approach,Journal of Ocean Engineering and Sciences, (With L.Verma)(2022) (SCI IF: 7.1) (Elsevier)https://doi.org/10.1016/j.joes.2022.03.019(Journal Rank:Q2)
72. Effect of heat transfer on Jeffery-Hamel Cu/Ag-water nanofluid flow with fuzzy volume fraction using double parametric fuzzy homotopy analysis method,The European Physical Journal Plus, Vol.137 (3), 372 (With L.Verma )(2022) (SCI IF: 3.91) (Springer)(Journal Rank: Q2 ) https://doi.org/10.1140/epjp/s13360-022-02586-x
71. Approximation properties by some modified Sz\'asz-Mirakjan-Kantorovich operators,Numerical Analysis and Applications, (With R.Yadav and V.N Mishra)(2022) (ESCI,Scopus) (Springer) (Journal Rank: Q2 )
68. Solution of fuzzy differential equation using homotopy analysis method, American Institute of Physics2451 (1), 020031,2022. (With L. Verma).(SCOPUS)
67. Computational study of Klein-Gordan equation using Homotopy Analysis Method, American Institute of Physics2451 (1), 020030,2022. (With P.Sartanpara).(SCOPUS)
65. “Analytical study of time fractional Fisher equation using homotopy approach with a generalized transform”, IEEE Xplore, (With P.Sartanpara) (SCOPUS),https://doi.org/10.1109/ICFDA 58234.2023.10153260
64. “An Analytical Investigation of Time-Fractional Sharma-Tasso-Olever Equation Arising in Physical Sciences” , IEEE Xplore (With V.Prajapati) (SCOPUS), https://doi.org/10.1109/ICFDA 58234.2023.10153187
2021
63. Statistical convergence of Szasz-Mirakjan-Kantorovich-type operators and their bivariate extension,Filomat, (With R.Yadav and V.N Mishra)(2021) (SCI IF: 0.844) (Journal Rank: Q2 )
62. Approximation by associated GBS operators of Szasz-Mirakjan type operators,Filomat, Vol. 35, No. 14(With R.Yadav and V.N Mishra)(2021) (SCI IF: 0.844) (Journal Rank: Q2 )
61. A robust computational approach for Zakharov-Kuznetsov equations of ion-acoustic waves in a magnetized plasma via the Shehu transform,Journal of Ocean Engineering and Sciences, (With P. Sartanpara)(2021) (SCI IF: 7.1) (Elsevier) (Journal Rank: Q2 )
60. Numerical study of forced imbibition phenomena in fluid flow through a water-wet porous media,International Journal of Computational Materials Science and Engineering, https://doi.org/10.1142/S2047684121500160,2021. (With J.Kesarwani). (ESCI, SCOPUS)(World Scientific) (Journal Rank: Q3 )
57. Effect of Heterogeneity on Imbibition phenomenon in fluid flow through porous media with different porous materials with magnetic fluids. Journal of Porous Media, Vol.23 (3), 219-234 (With V.P Gohil) (2020) (SCI IF: 1.49)(SCI)(Begell House Publications). (Journal Rank: Q2 )
56. Further approximations on Durrmeyer modification of Sz´asz-Mirakjan operators, European Journal of Pure and Applied MathematicsVol. 13, No. 5, 2020, 1306-1324. (with R. Yadav and V.N Mishra) (ESCI, Scopus) (Journal Rank: Q3 )
55.Computational study of time-fractional porous medium equation arising in fluid flow through a water-wet porous media, International Journal of Computational Materials Science and Engineering, 9(2), 2050007,2020. (With J.Kesarwani).(ESCI,SCOPUS)(World Scientific) (Journal Rank: Q3 )
54.Modeling of an imbibition phenomenon in a heterogeneous cracked porous medium on small inclination, Special Topics & Reviews in Porous Media: An International Journal, 12 (1) ,2020 (With J.Kesarwani).(SCI IF-1.5) (Begell House Publications). (Journal Rank: Q2 )
53.Numerical study of magneto-hydrodynamics Jeffery-Hamel flow with cu-water nano-fluid between two smooth rectangular walls with the transverse magnetic field,International Journal of Computational Materials Science and Engineering, 9(2), 2050010-567,2020 (With N.D. Patel).(ESCI,SCOPUS) (World Scientific) (Journal Rank: Q3 )
52. Modelling of counter-current imbibition phenomenon in two-phase fluid flows through fractured heterogeneous porous media under the effect of the magnetic field,International Journal of Computational Materials Science and Engineering, 9(2), 2050006-19,2020 (with V.P Gohil).(ESCI,SCOPUS) (World Scientific) (Journal Rank: Q3 )
51.Results on bivariate Sz´asz-Mirakjan type operators in polynomial weight spaces, Journal MESA, 11 (4), 939-957.,2020, (with R. Yadav and V.N Mishra).(SCOPUS) (Journal Rank: Q3 )
50.Mathematical modelling of the fingering phenomenon using Homotopy analysis method, American Institute of Physics2214 (1), 020029,2020. (With J.Kesarwani). (SCOPUS)
2019
49. Quantitative estimations of bivariate summation‐integral–type operators, Mathematical Methods in the Applied Sciences, Vol.42 (18), 7172-7191. (With R Yadav, VN Mishra)(2019) (SCI I.F:2.233) (Wiley). (Journal Rank: Q1 )
48. Effect of Viscous Fluid on the Counter-Current Imbibition Phenomenon in Two-Phase Fluid Flow through Heterogeneous Porous Media with Magnetic Field, Iranian Journal of Science and Technology, Transactions A: Science, Vol.43, No.4, 1799-1810. (With V.P Gohil)(2019)(SCI I.F:0.692) (Springer). (Journal Rank: Q2 )
47. Effect of magnetic field on imbibition phenomenon in fluid flow through fractured porous media with different porous material. Nonlinear Engineering: Modelling and Application, Vol.8, No.1, 368-379.2018 (with V.P Gohil) (2019) (ESCI, SCOPUS) (DeGruyter) . (Journal Rank: Q2 )
46. Analytical study of time fractional fractured porous medium equation under the effect of magnetic field, Special Topics & Reviews in Porous Media: An International Journal. Vol.10, No.2, 99-113. (With V.P Gohil) (2019)(SCI IF-1.5) (Begell House Publications). (Journal Rank: Q2 )
45. A Study on Convective-Radial Fins with Temperature-dependent Thermal Conductivity and Internal Heat Generation,Nonlinear Engineering: Modelling and Application, Vol.8, No.1 ,145-156. (With T Patel) (2019)(ESCI,SCOPUS) (DeGruyter). (Journal Rank: Q2 )
44.Effect of Heterogeneity on Imbibition Phenomena in Fluid Flow through Porous Media with Different Porous Materials, Nonlinear Engineering: Modelling and Application, Vol.8, No.1, 46-55. (With HS Patel) (2019)(ESCI,SCOPUS) (DeGruyter). (Journal Rank: Q2 )
43. Analytical Investigation of MHD Jeffery–Hamel flow problem with heat transfer by differential transform method, SN Applied Sciences, Vol. 1 (7), 656. (With N.D Patel)(2019) (ESCI, SCOPUS) (Springer). (Journal Rank: Q3 )
42. Investigation of a Jeffery-Hamel flow between two rectangular inclined smooth walls using the Differential Transform Method, Journal of Applied Mathematics and Computational Mechanics, Vol. 17 (4), 47-57. (With N.D Patel) (2019) (ESCI, SCOPUS) (Journal Rank: Q3 ).
41. A study on magneto hydrodynamics Jeffery-Hamel flow with heat transfer problem in Eyring-Powell fluid using Differential Transform Method, Journal of Applied Mathematics and Computational Mechanics ,Vol.18 (3), 57-68. . (With N.D Patel) (2019) (ESCI, SCOPUS) (Journal Rank: Q3 ).
2018
40. Variable learning adaptive gradient-based control algorithm for voltage source converter in distributed generation, doi: 10.1049/iet-rpg.2018.5213 IET Renewable Power Generation, Vol.12, No.16, 1883 – 1892. (With A. Giri, S. R Arya and R. Maurya) (2018) (SCI I.F:3.488) . (Journal Rank: Q2 )
39. Simulation of Counter-Current Imbibition Phenomenon in a Double Phase Flow through Fracture Porous Medium with Capillary Pressure, Ain Shams Engineering Journal, 9 (4), 2163-2169.(with HS Patel)(2018)(SCI I.F: 6.0) (Elsevier). (Journal Rank: Q2 )
37. Simulation of Imbibition Phenomena in Fluid Flow through Fractured Heterogeneous Porous Media with Different Porous Materials,Journal of Applied Fluid Mechanics, volume 10, no. 5, 2017.(with HS Patel)(2017)(SCI I.F:1.369) . (Journal Rank: Q2 )
36.Modelling of Imbibition Phenomena in Fluid Flow through Heterogeneous Inclined Porous Media with Different Porous Materials, Nonlinear Engineering: Modelling and Application, Vol.6, No.4, 263-275. (With HS Patel) (2017)(ESCI,SCOPUS) (DeGruyter). (Journal Rank: Q2 )
35. Thermal Analysis of porous fin with uniform magnetic field using Adomian decomposition Sumudu transform method, Nonlinear Engineering - Modelling and Application, Vol.6, No.3, 191-200. (With T Patel) (2017) (ESCI,SCOPUS) (DeGruyter). (Journal Rank: Q2 )
34.Simulation of Counter-Current Imbibition Phenomenon with Corey’s Model in Double Phase Flow Through Heterogeneous Porous Medium with Capillary Pressure, International Journal of Applied and Computational Mathematics ,3 (4), 3817-3830.(with HS Patel) (2017)(ESCI and SCOPUS) (Springer Publications). (Journal Rank: Q3 )
33. Analytical Treatment and Convergence of the Adomian Decomposition Method for Instability Phenomena Arising during Oil Recovery Process, International Journal of Engineering Mathematics, Volume-2013 .Article ID-752561, 2013.(with S.K Meher)(2013).
32.Differential Transformation Method For Fingero-Imbibition Phenomena Arising In Double Phase Flow Through Homogeneous Porous Media, Mathematical Sciences International Research Journal, 6 (1), 1-5, 2017. (With N.D Patel) (2017).
31. Homotopy Analysis Method for solving Counter current imbibition phenomena of the time positive fractional type arising in heterogeneous porous media. International Journal of Mathematics and Computation, Vol. 28(2), pp.77-85, 2017. (With V.P Gohil)(2017).
2016
30. Adomian decomposition sumudu transform method for solving a solid and porous fin with temperature dependent internal heat generation,Springer Plus, 5(1), 1-18. (With T Patel) (2016)(SCI I.F:0.891) (Springer). (Journal Rank: Q3 )
29. Simulation of Fingering Phenomena in Fluid Flow Through Fracture Porous Media with Inclination and Gravitational Effect , Journal of Applied Fluid Mechanics, Vol.9, No. 6, pp.3135 - 3145. (With HS Patel)(2016) (SCI I.F:1.369) . (Journal Rank: Q2 )
28.Modelling of Imbibition Phenomena in two-phase fluid flow through Fractured Porous Media, Nonlinear Engineering: Modelling and Application, Vol.6, No.1, 15-24. (With HS Patel) (2016)(ESCI,SCOPUS) (DeGruyter). (Journal Rank: Q2 )
27. Adomian decomposition Sumudu transform method for convective fin with temperature-dependent internal heat generation and thermal conductivity of fractional order energy balance equation, International Journal of Applied and Computational Mathematics, Vol.2,No.2 (2016), 1-17. (With T Patel) (2016)(ESCI and SCOPUS) (Springer). (Journal Rank: Q3 )
26.A Study on Fin Efficiency Analysis of Convective Straight Fins with Temperature Dependent Thermal Conductivity by using Adomian Decomposition Sumudu Transform Method,International Journal of Pure and Applied Mathematics, 110(2), 311-326. (With T Patel) (2016) (SCOPUS).
25.Application of Homotopy Analysis Method for the soliton solution of Cubic Boussinesq equation and Boussinesq-Burger equation, Communications in Applied Analysis, Vol.20,No.3 (2016), 379-396. (With V.P Gohil) (2016) (SCOPUS).
24.A study on recovery rate for counter – current imbibition phenomenon with Corey’s model arising during oil recovery process,Applied Mathematics and Information Sciences , Vol. 10, No. 5, 1-8 .(With HS Patel) (2016)(SCOPUS).(Journal Rank: Q3 )
23.Differential Transformation Method for solving Kolmogrove-Petrovskii-Piskunov Equation and Porous medium equation, Mathematical Sciences International Research Journal, 5 (1), 46-49,2016.(With N.D Patel)(2016).
22.Approximate Analytical Study of Counter-Current Imbibition Phenomenon in a Heterogeneous Porous Media, Applied Mathematical Sciences, Vol. 10, no. 14, 673 – 681.(with HS Patel)(2016) .
21. Analytical treatment and convergence of the Adomian decomposition method for fingero-imbibition phenomena arising during oil recovery process, Mathematical Sciences Letters , Vol. 5(3), 2016.(with S.K Meher) (2016).
20.Adomian Decomposition Sumudu Transform Method for Solving Fully Nonlinear Fractional Order Power-Law Fin-Type Problems, International Journal of Mathematics and Computation, Vol. 27(2),pp-7-16,2016 . (With T Patel) (2016).
19. Application of Laplace Adomian Decomposition Method for the soliton solutions of Boussinesq-Burger equations, International Journal of Advances in Applied Mathematics and Mechanics, Vol.3(2), pp.50-58,2016. (With HS Patel) (2016).
18. Application of modified Adomian decomposition method for solving higher order boundary value problem, International Journal of Mathematics and Computation, Vol. 27(3),pp.120-131, 2016. (With HS Patel) (2016).
2015
17.A Study on Temperature Distribution, Efficiency and Effectiveness of longitudinal porous fins by using Adomian Decomposition Sumudu Transform Method , Procedia Engineering Elsevier, Vol.127 (2015),PP- 751 – 758.(With T Patel) (2015) (SCOPUS) (Elseiver ).
16. Modified Adomian Decomposition Method for Solving Eleventh-order Initial and Boundary Value Problems, British Journal of Mathematics & Computer Science, Vol.8 (2): 134-146, 2015. (With HS Patel) (2015).
15. A Solution of Infiltration problem arising in Farmland Drainage using Adomian Decomposition Method, British Journal of Applied Science and Technology, Vol.6(5): 477-485, 2015.(with T Patel) (2015).
14. Series Solution for Porous Medium Equation arising in Fingero-Imbibition phenomenon during oil recovery process, Applied Mathematics and Information Sciences Letters, Vol.3(1),pp-25-30, (with S.K Meher) (2015).
13. An Efficient Technique for Solving Gas Dynamics Equation Using the Adomian Decomposition Method, International Journal of Conceptions on Computing and Information Technology, Vol.3 (2), 7/49-10/49 August- 2015.(With HS Patel) (2015).
2014
12. A Study on saturation of wetting phase in instability phenomena arising in fluid through porous media by using Adomian Decomposition method, Mathematical Sciences International Research Journal 3 (1), 247-253, 2014.(With T Patel) (2014).
11.Analytical investigation of Jeffery-Hamel flow with magnetic field by differential transform method." Int. J. Adv. Appl. Math. Mech, Vol.6, 1-9. (With N.D Patel) (2018).
2011
10. A new approach to Backlund Transformation for Longitudinal dispersion of miscible fluid flow through porous media in oil reservoir during secondary recovery process, Theoretical and Applied Mechanics, Vol.38(1),pp-1-16 ,2011.(With M.N Mehta) (2011) (ESCI, SCOPUS). (Journal Rank: Q3 )
9. Exponential Self Similar Solutions Technique for Imbibition phenomenon arising in Double Phase Flow through Porous Medium with capillary pressure,International journal of Applied Mathematics and Mechanics, Vol.7(8),pp-29-40 ,2011. (With M.N Mehta) (2011).
8. Instability Phenomenon Arising In Double Phase Flow through Porous Medium with Capillary Pressure,International journal of Applied Mathematics and Mechanics, Vol.7(15),pp-97-112, 2011.(with M.N Mehta) (2011).
2010
7. Adomian Decomposition method for Dispersion phenomena arising in Longitudinal Dispersion of Miscible Fluid Flow through Porous Media”, Advances in Theoretical and Applied Mechanics, Vol. 3, No-5, pp-211-220,2010.(with M.N Mehta)(2010).
6. Exponential Self Similar Solutions Technique for Instability Phenomenon Arising In Double Phase Flow through Porous Medium with Capillary Pressure, Applied Mathematical Sciences,Vol.4, No-27,pp-1329-1335,2010. (With M.N Mehta) (2010).
5. A new approach to Backlund Transformations of Burger Equation Arising in Longitudinal Dispersion of Miscible Fluid Flow through Porous Media”, International journal of Applied Mathematics and Computation, Vol. 2, No-3,pp 17–24, 2010.(with M.N Mehta) (2010).
4.Adomian Decomposition method for Dispersion phenomena arising in Longitudinal Dispersion of Miscible Fluid Flow through Porous Media”, Advances in Theoretical and Applied Mechanics, Vol. 3, No-5, pp-211-220,2010.(with M.N Mehta) (2010).
3.Adomian Decomposition Method for Moisture Content in One Dimensional Fluid Flow through Unsaturated Porous Media, International journal of Applied Mathematics and Mechanics, Vol.6, N0- 7, pp 13-23,2010.(with M.N Mehta) (2010).
2. Adomian Decomposition Approach to Fingero-Imbibition Phenomena in Double Phase Flow through Porous Media, International journal of Applied Mathematics and Mechanics, Vol. 6, No-9, pp- 34-46,2010. (With M.N Mehta) (2010).
2009
1. Dispersion of Miscible Fluid in semi-infinite porous media with unsteady velocity distribution, International Journal of Mathematical Sciences and Engineering Applications, Vol. 3, No-IV, pp-199-208,2009.(With M.N Mehta) (2009).