Results 1 to 10 of about 147 (119)

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]

Heliyon
The 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, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
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

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

Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities [PDF]

International Journal of Applied and Computational Mathematics, 2022
Ali Akgül, Muhammad Imran Asjad
exaly   +2 more sources

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

Mathematics
This 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, Badreddine Meftah, Muhammad Uzair Awan, Abdelghani Lakhdari   +3 more
doaj   +3 more sources

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, Mohammed S. El-Khatib, Ahmad A. Abubaker, Suha B. Al-Shaikh, Iqbal M. Batiha   +4 more
doaj   +1 more source

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

Fractal and Fractional, 2019
The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

On new fractional integral inequalities for p-convexity within interval-valued functions

Advances in Difference Equations, 2020
This work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering the p-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite–Hadamard ...
Thabet Abdeljawad, Saima Rashid, Hasib Khan, Yu-Ming Chu   +3 more
doaj   +1 more source

Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized ...
Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo   +4 more
doaj   +1 more source

Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations

Alexandria Engineering Journal, 2023
This paper discusses controllability results for active types with infinite-time delay of non-instantaneous impulsive fractional differential equations.
Ahmed Salem, Sanaa Abdullah
doaj   +1 more source