Katugampola Fractional Integral and Fractal Dimension of Bivariate Functions [PDF]
Results in Mathematics, 2021 19 pages, 2 figures. This work is a part of the Ph.D. thesis of the first author submitted to IIT Delhi. The thesis is defended successfully in October 2020.
S. Verma, P. Viswanathan
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Results on Katugampola Fractional Derivatives and Integrals
International Journal of Analysis and Applications, 2023 In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional ...
Iqbal H. Jebril +4 more
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On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]
HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
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Integral inequalities for some convex functions via generalized fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
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Weddle's Inequality via Katugampola Fractional Integrals
Universal Journal of Mathematics and ApplicationsIntegral inequalities represent an important and ongoing area of study in mathematical understanding. Due to their extensive use in science, fractional calculus approaches have been the subject of a great deal of research recently.
Jamal El-achky
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Fractional-order boundary value problems with Katugampola fractional integral conditions [PDF]
Advances in Difference Equations, 2018 In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions.
Nazim I. Mahmudov, Sedef Emin
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Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
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Karpatsʹkì Matematičnì Publìkacìï, 2022 A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for
M. Omaba
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Extension of Milne-type inequalities to Katugampola fractional integrals
Boundary Value ProblemsThis study explores the extension of Milne-type inequalities to the realm of Katugampola fractional integrals, aiming to broaden the analytical tools available in fractional calculus.
Abdelghani Lakhdari +3 more
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Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
Revista Integración, 2018 In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H. +1 more
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