Google Scholar Profile: Link

• 1. U.N. Katugampola, New Approach To A Generalized Fractional Integral, Appl. Math. Comput. 218(3)(2011) 860-865. Access pdf

  2. U.N. Katugampola, New Technique for Text Data Compression, Proceedings of IEEE International Conference on Computer, Consumer and Control, 2012 in Taichung, Taiwan, p 405 - 409. Access or Access

  3. U.N. Katugampola, The Formulation of Generalized Fractional Euler-Lagrange Equation, 5th IFAC Symposium on Fractional Differentiation and Its Applications, Nanjing, China, 2012.

  4. U.N. Katugampola, New Approach to Generalized Fractional Derivatives, Bull. Math. Anal. Appl. 6(4)(2014) 1-15. arXiv or Access

  5. U.N. Katugampola, Mellin Transforms of Generalized Fractional Integrals and Derivatives, Appl. Math. Comput. 257(2015) 566-580 Access or arXiv

  6. R.M. Evans, U.N. Katugampola, D.A. Edwards, Applications of fractional calculus in solving Abel-type integral equations: Surface-volume reaction problem, Comput. Math. Appl. 73(6)(2017) 1346-1362 arXiv or Access

  7. U.N. Katugampola, Correction to ''What is a fractional derivative?'' by Ortigueira and Machado [Journal of Computational Physics, Volume 293, 15 July 2015, Pages 4–13], J. Comput. Phys. 321(2016) 1255-1257 Access and pdf

  8. H. Chen, U.N. Katugampola, Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals, J. Math. Anal. Appl. 446(2017) 1274-1291 Access and arXiv

Submitted:

• 1. H. Chen, U.N. Katugampola, ρ-Laplace and ρ-Fourier transforms and their applications, submitted to Commun. Nonl. Sci. Num. Sym (2016)

  2. U.N. Katugampola, New fractional integral unifying six existing fractional integrals, submitted to Proc. Amer. Math. Soc. (2016) arXiv

  3. U.N. Katugampola, Can we generalize the limit-definition of the derivative, submitted to Proc. Amer. Math. Soc. (2016) JMM abstract (2016) and JMM abstract (2017)

  4. U.N. Katugampola, Geometric Approach to the integral ∫secxdx,submitted to College Math. Journal (2016) arXiv

  5. U.N. Katugampola, Existence and Uniqueness results for a class of Generalized Fractional Differential Equations, submitted to Frac. Calc. Appl. Anal. (2016) arXiv

  6. U.N. Katugampola, A new fractional derivative with classical properties , submitted to J. Comput. Math. Appl. (2016) arXiv

  7. U.N. Katugampola, A new fractional integral with applications to porous medium equation, submitted to Commun. Nonl. Sci. Num. Simulat. (2017)

  8. U.N. Katugampola, A New Family of Sequences I, submitted to J. Combinatorial Theory - A. (2017)

  9. U.N. Katugampola, Random Number Generators using Nonlinear Functions with applications to Image Encryption I, submitted to Digital Signal Processing (2016).

  10. U.N. Katugampola, Hybrid Linear Congruential Method with a Longer Period, submitted to Comput. Math. Appl. (2017).

In preparation:

• 1. U.N. Katugampola, Porous medium equation under bifurcation effect

  2. U.N. Katugampola, G. Pagnini, Time-fractional diffusion equation under bifurcation effect

  3. U.N. Katugampola, A New Family of Sequences II

  4. U.N. Katugampola, S. Makrogiannis, A Calculation Based Approach to Real-Time Signature Verification

Recent Developments:

• 1. Fractional differential equations of Caputo–Katugampola type and numerical solutions, S. Zeng, D. Baleanu, Y. Bai, G. Wu, Applied Mathematics and Computation 315(2017) 549-554 Access

  2. On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation, C. Thaiprayoon1, S. Ntouyas, J. Tariboon, Advances in Difference Equations (2015) 2015:374 Access

  3. Fractional differential equations with dependence on the Caputo-Katugampola derivative, R. Almeida, A.B. Malinowska, T. Odzijewicz, J. Comput. Nonlinear Dynam, 11(6), 061017 (2016), Access  arXiv

  4. Properties of the Katugampola fractional derivative with potential application in quantum mechanics, D.R. Anderson, D.J. Ulness, J. Math. Phys. 56, 063502 (2015) Access

  5. Hilfer-Katugampola fractional derivative, D. S. Oliveira, E. Capelas de Oliveira, (2017) arXiv

  6. An approximation formula for the Katugampola integral, R. Almeida, N.R.O. Bastos, J. Math. Anal. (2015) arXiv

  7. Some relations involving a generalized fractional derivative operator, S. Gaboury, R. Tremblay, and B. Fugère, Journal of Inequalities and Applications (2013) 2013:167. Access

  8. Variational Problems Involving a Caputo-Type Fractional Derivative, R. Almeida, J. Optim. Theory Appl. (2016) Access or arXiv

  9. On Hermite-Hadamard Type Inequalities via Generalized Fractional Integrals, M. Jleli, D. O'Regan, B. Samet, Turkish J. Math. (2016) pdf

  10. An approximation formula for the Katugampola integral, R. Almeida, N.R.O. Bastos, J. Math. Anal. (2015) arXiv

  11. Maximum principles for time-fractional Caputo-Katugampola diffusion equations,  Cao, Liang; Kong, Hua; Zeng, Sheng-Da. Journal of Nonlinear Sciences and Applications. 10: 2257–2267(2017). doi:10.22436/jnsa.010.04.75

  12. Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative, Bhairat, Sandeep P.; Dhaigude, D.B. (2017)arXiv:1709.08838

  13. New refinements of fractional Hermite-Hadamard inequality, M.U. Awan, M.A. Noor, T-S, Du, K.I. Noor, RACSAM (2017) Access 

  14. ...

Books that cite my research work:

• 1. Fractional Calculus: An Introduction for Physicists , R Herrmann, World Scientific, 2011

  2. Introduction to the Fractional Calculus of Variations, Agnieszka B Malinowska and Delfim F. M. Torres, Imperial College Press, 2011

  3. Advanced Methods in the Fractional Calculus of Variations, Malinowska, Agnieszka B., Odzijewicz, Tatiana, Torres, Delfim F.M., Springer, 2015

Some of Journal Papers that cite my work:

• 1. S. Pooseh, R. Almeida, and D. Torres, Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative, Numerical Functional Analysis and Optimization, Vol 33, Issue 3, 2012, p301-319. Access

  2. T. Odzijewicz, A. Malinowska, and D. Torres, Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics, Abstract and Applied Analysis, Vol 2012 (2012), Article ID 871912. Access

  3. A. G. Butkovskii, S. S. Postnov, E. A. Postnova, Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation, Automation and Remote Control (Springer), Vol 74, Issue 4, 2013, p543-574. Access

  4. M. A. Noor, M.U. Awan, K. I. Noor, On Some Inequalities for Relative Semi-Convex Functions, Journal of Inequalities and Applications (Springer), 2013:332. Access

  5. T. Odzijewicz, A. B. Malinowska, D. F. M. Torres, A Generalized Fractional Calculus of Variations, Control and Cybernetics , 2013. Access

  6. S. S. Nayak, S. P. Sahoo, R. Matta, S.K. Pattanayak, A Modified Approach to Lossless Data Compression Method. IJREISS, Vol 2, Issue 11 (Nov 2012), ISSN: 2250-0588. Access

  7. I. Nesiolovskiy, A. Nesiolovskiy, Binary-Ternary Compressing Data Coding. arXiv:1201.5603 [cs.IT] (2012).

  8. P. Katugampola, C. Winstead-Casson, Rheology and Thermal Studies of Stearoyl Chitosan Varying the Degree of Substitution. IOSR-JPTE, Vol 4, Issue 1 (March 2017), Access