Katugampola Fractional Integral and Fractal Dimension of Bivariate Functions [PDF]
Results in Mathematics, 2021 The subject of this note is the mixed Katugampola fractional integral of a bivariate function defined on a rectangular region in the Cartesian plane. This is a natural extension of the Katugampola fractional integral of a univariate function—a concept ...
, Viswanathan P, P Viswanathan
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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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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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On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities
MathematicsThis paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Wedad Saleh +3 more
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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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Turkish Journal of Analysis and Number Theory, 2022 M. Muddassar, Sajida Batool, T. Jabeen
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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 nonlocal Katugampola fractional integral conditions for fractional Langevin equation [PDF]
Advances in Difference Equations, 2015 In this paper, we study the existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Riemann-Liouville type fractional derivatives with the nonlocal Katugampola fractional integral conditions.
C. Thaiprayoon, S. Ntouyas, J. Tariboon
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On weighted fractional inequalities using generalized Katugampola fractional integral operator [PDF]
Fractional Differential Calculus, 2020 In this paper, we obtain some new weighted fractional inequalities which is presented by M. Houas in the paper(Certain weighted integral inequalities involving fractional hypergeometric operator, Scientia, series A: Mathematical Science 27(2016),87-97 ...
S. K. Panchal +2 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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