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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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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Some Grüss-type inequalities using generalized Katugampola fractional integral [PDF]
AIMS Mathematics, 2020 The main objective of this paper is to obtain a generalization of some Grüss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.
Tariq A. Aljaaidi, Deepak B. Pachpatte
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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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Extension of Milne-type inequalities to Katugampola fractional integrals [PDF]
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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On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chatthai Thaiprayoon +2 more
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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.
Saurabh Verma, P. Viswanathan
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Certain fractional integral inequalities using generalized Katugampola fractional integral operator
Malaya Journal of Matematik, 2020 The purpose of this paper is to obtain some new fractional integral inequalities involving convex functions by applying generalized Katugampola fractional integral operator.
Nale Asha B. +2 more
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Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
Punjab University Journal of Mathematics, 2023 In this study, we present the midpoint and trapezoid inequalities for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional integral operators for differentiable mapping ϕ whose second derivatives in the absolute values are F−convex.
Saad Ihsan Butt +2 more
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On weighted fractional inequalities using generalized Katugampola fractional integral operator [PDF]
Fractional Differential Calculus, 2020 Summary: In this paper, we obtain some new weighted fractional inequalities which are presented by \textit{M. Houas} in the paper [Sci., Ser. A, Math. Sci. (N.S.) 27, 87--97 (2016; Zbl 1429.26028)], using generalized Katugampola fractional integral operator.
Satish K. Panchal +2 more
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