Identities on fractional integrals and various integral transforms (original) (raw)

General Fractional Integrals and Derivatives of Arbitrary Order

Yuri Luchko

Symmetry, 2021

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Identities for the exponential integral and the complementary error transforms

Osman Yurekli

Applied Mathematics and Computation, 2006

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On some applications of a new integral transform

hassan gadain

2010

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Identities for the -transform and their applications

Osman Yurekli

Applied Mathematics and Computation, 2007

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Special Functions of Fractional Calculus in Form of Convolution Series and their Applications

Yuri Luchko

arXiv (Cornell University), 2021

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New identities involving the laplace and the ℒ2-transforms and their applications

Osman Yurekli

Applied Mathematics and Computation, 1999

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Fractional calculus and generalized Mittag-Leffler type functions

Christian Lavault

2017

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On Theorems Connecting the Laplace Transform and a Generalized Fractional Integral Operator

Tariq Salim

Tamkang Journal of Mathematics, 1998

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Some results on integral inequalities via Riemann–Liouville fractional integrals

Jamshed Nasir

Journal of Inequalities and Applications, 2019

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On the integral of fractional Poisson processes

Enzo Orsingher

Statistics & Probability Letters, 2013

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On the Laguerre fractional integro-differentiation

Semyon Yakubovich

Integral Transforms and Special Functions, 2020

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The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals

Victor Moll

2007

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New Hermite-Hadamard inequalities in the framework of generalized fractional integrals

Juan E. Nápoles Valdes

Annals of the University of Craiova - Mathematics and Computer Science Series, 2021

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Stirling functions of first kind in the setting of fractional calculus and generalized differences

Paul L Butzer

Journal of Difference Equations and Applications, 2007

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A New Procedure to Test for Fractional Integration

Les Oxley

Open Journal of Statistics, 2016

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Certain Integrals INVOLVING2F1, Kampéde Fériet Function and Srivastava Polynomials

Praveen Agarwal

Communications of the Korean Mathematical Society, 2016

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Proceedings of the National Workshop on Fractional Calculus and Statistical Distributions

Dhannya P Joseph

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A Note on Saigo’s Fractional Integral Inequalities

Harshvardhan Harsh

Turkish Journal of Analysis and Number Theory, 2014

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The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers

Tianyi Pu

arXiv (Cornell University), 2022

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Fractional Calculus Pertaining to Generalized H-Functions

DrJitendra Daiya

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Duality of “Some Famous Integral Transforms” From the Polynomial Integral Transform

yogesh khandelwal

International Journal of Mathematics Trends and Technology, 2018

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Non-Conformable Fractional Laplace Transform

Juan E. Nápoles Valdes

Kragujevac journal of mathematics, 2022

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Generalized proportional fractional integral inequalities for convex functions

Majid Khammas Neamah

AIMS mathematics, 2021

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Some identities on fractional integrals and integral transforms

Neşe Dernek

Hacettepe Journal of Mathematics and Statistics

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Solution to Carson’s integrals through power series; Solución de las integrales de Carson mediante series de potencia

Julian Sotelo Castañón

Ingenieria Energetica, 2015

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Hermite–Hadamard type inequalities for conformable fractional integrals

Juan E. Nápoles Valdes

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017

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Some Parseval–Goldstein type identities involving the -transform, the -transform and the -transform and their applications

Neşe Dernek

Applied Mathematics and Computation, 2008

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Taking Stock of Integration Theory

Antje Wiener

SSRN Electronic Journal, 2018

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Transformations of hypergeometric elliptic integrals

Raimundas Vidunas

2008

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New fractional integral unifying six existing fractional integrals

Udita Katugampola

2016

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Calculation of generalized elliptic type integrals using the binomial expansion theorem

Ziya Merdan

Applied Mathematics and Computation, 2005

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The integrals in Gradshteyn and Ryzhik. Part 16: Complete elliptic integrals

Victor Moll

2010

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Some fractional integral inequalities of type Hermite–Hadamard through convexity

Jamshed Nasir

Journal of Inequalities and Applications, 2019

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The differential transform of the Caputo-Fabrizio fractional derivative

Rami AlAhmad

The journal of mathematics and computer science, 2023

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Holomorphic fractional Fourier transforms

Jose Mourao

arXiv (Cornell University), 2019

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