Results 11 to 20 of about 27,980 (166)

Better Approximation of Integral Form of Midpoint Formula Using p-Convex Function via Katugampola Fractional Integrals

Journal of Function Spaces
In this article, new estimations of the integral form of the midpoint formula are derived for p-convex functions via Katugampola fractional integrals.
Muhammad Latif, Saima Riaz, Khuram Ali Khan, Ammara Nosheen, Michael Kikomba Kahungu   +4 more
doaj   +3 more sources

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.
Asha B. Nale, S. K. Panchal, V. L. Chinchane   +2 more
semanticscholar   +2 more sources

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
doaj   +2 more sources

New Result for the Analysis of Katugampola Fractional-Order Systems—Application to Identification Problems

Mathematics, 2022
In the last few years, a new class of fractional-order (FO) systems, known as Katugampola FO systems, has been introduced. This class is noteworthy to investigate, as it presents a generalization of the well-known Caputo fractional-order systems. In this
Omar Kahouli, Assaad Jmal, Omar Naifar, Abdelhameed M. Nagy, Abdellatif Ben Makhlouf   +4 more
doaj   +3 more sources

Fractal dimension of Katugampola fractional integral of vector-valued functions

The European Physical Journal Special Topics, 2021
Calculating fractal dimension of the graph of a function not simple even for real-valued functions. While through this paper, our intention is to provide some initial theories for the dimension of the graphs of vector-valued functions. In particular, we give a fresh attempt to estimate the fractal dimension of the graph of the Katugampola fractional ...
Megha Pandey, T. Som, Saurabh Verma
semanticscholar   +2 more sources

Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions

Fractional Calculus and Applied Analysis, 2021
The goal of this article is to study the box dimension of the mixed Katugampola fractional integral of two-dimensional continuous functions on [0,1]×[0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Subhash Chandra, Syed Abbas
semanticscholar   +3 more sources

HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS

Journal of Applied Analysis and Computation, 2023
Summary: In the paper, basing on the Katugampola fractional integrals \({}^\rho\mathcal{K}^\alpha_{a+}f\) and \({}^\rho\mathcal{K}^\alpha_{b-}f\) with \(f\in\mathfrak{X}_c^p(a, b) \), the authors establish the Hermite-Hadamard type inequalities for convex functions, give their left estimates, and apply these newly-established inequalities to special ...
Wang, Shu-Hong, Hai, Xu-Ran
exaly   +2 more sources

On Inequalities for S-Convex Function Based on Katugampola Fractional Integral

Journal of Physics: Conference Series, 2020
The subject of integral inequalities has been considered and studied by many mathematical scholars. Based on Katugampola fractional integrals in this article, authors discuss s-function and obtain some inequalities.
Ying Wu
semanticscholar   +2 more sources

Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions

Advances in the Theory of Nonlinear Analysis and its Application, 2021
In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach's contraction principle, nonlinear contractions, Krasnoselskii's and Leray-Schauder's fixed theorems.
Naas Adjimi, M. Benbachir
semanticscholar   +4 more sources

Chebyshev type inequalities involving generalized Katugampola fractional integral operators

Tamkang Journal of Mathematics, 2019
A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented.Here, motivated essentially by the earlier works and their applications in diverse research subjects, we aim to establish several ...
E. Set, Junesang Choi, .Ilker Mumcu
semanticscholar   +2 more sources