Some identities on fractional integrals andintegral transforms

Kaynakça (1)

1. L. Debnath and D. Bhatta,Integral Transforms and Their Applications2ndEdition,Chapman and Hall CRC, Boca Raton, London and New York, 2007. [2]A.N. Dernek and F. Aylıkçı,Identities for theLn-Transform, theL2n-Transform,and theP2n-Transform and Their Applications, Journal of Inequaities and SpecialFunctions,5(4), 1–16, 2014. [3]A.N. Dernek and F. Aylıkçı,Some Results on thePν,2n,Kν,n,Hν,nIntegral trans-forms, Turkish J. Math.41, 337–349, 2017. [4]A. Dernek, N. Dernek and O. Yürekli,Identities for the Henkel Transform and TheirApplications, J. Math. Anal. Appl.354, 165–176, 2009. [5]A.N. Dernek, V. Kurt, Y. Şimşek and O. Yürekli,A generalization of Widder PotentialTransform and Applications, Integral Transforms Spec. Funct.22, 391–401, 2011. [6]A.N. Dernek, H.M. Srivasta and O. Yürekli,Parseval-Goldstein Type Identities In-volving TheL4Transform andP4Transform and Their Applications, Integral Trans-forms Spec. Funct.18, (6), 397–408, 2007. [7]A. Erdelyi, W. Magnus, F. Oberhettinger and F. Tricomi,Tables of Integral Trans-forms Vol: 1, Mc-Graw-Hill Book Company, New York, Toronto and London, 1954. [8]A. Erdelyi, W. Magnus, F. Oberhettinger and F. Tricomi,Tables of Integral Trans-forms Vol: 2, Mc-Graw-Hill Book Company, New York, Toronto and London, 1954. [9]I.S. Gradshteyn and I.M. Ryzhik,Table of Integrals, Series and Products, AcademicPress, New York, 1996. [10]C. Li, D. Qian and Y. Chen,On Riemann Liouville and Caputo Derivatives, DiscreteDyn. Nat. Soc.2011, 2011. [11]K.S. Miller and B. Ross,An Introduction to Fractional Calculus and Fractional Dif-ferential Equations, John Wiley-Interscience Publication, New York, Toronto, Singa-pore, 1993. [12]I. Podlubny,An Introduction to Fractional Derivatives, Fractional Differential Equa-tions, to Methods of their Solution and Some of their Applications, Academic Press,San Diego and London, 1990. [13]D.V. Widder,An Introduction to Transform Theory, Academic Press, New York,1971. [14]O. Yürekli and I. Sadek,A Parseval-Goldstein Type Theorem on the Widder PotentialTransform and Its Applications, International J. Math. Math. Sci.14(3), 517–524,1991. [15]O. Yürekli,Identities on Fractional Integrals and Various Integral Transforms, Appl.Math. Comput.187, 559–566, 2007.