Results 31 to 40 of about 27,980 (166)

EXTENSIONS OF FRACTIONAL INTEGRAL INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS

Journal of Applied Analysis & Computation
Hala H. Taha, Yasmeen Razia, G. Farid, S. Ullah, Jongsuk Ro   +4 more
semanticscholar   +2 more sources

Boundary value problems for Hilfer fractional differential equations with Katugampola fractional integral and anti-periodic conditions

Mathematica, 2021
The purpose of this paper is to investigate the existence and uniqueness of solutions for a new class of nonlinear fractional differential equations involving Hilfer fractional operator with fractional integral boundary conditions. Our analysis relies on
Abdelatif Boutiara, M. Benbachir, K. Guerbati   +2 more
semanticscholar   +1 more source

Hermite–Hadamard-Type Inequalities for F -Convex Functions via Katugampola Fractional Integral

Mathematical Problems in Engineering, 2021
This article is organized as follows: First, definitions, theorems, and other relevant information required to obtain the main results of the article are presented.
E. Set, İ. Mumcu
semanticscholar   +1 more source

Some Grüss-type inequalities using generalized Katugampola fractional integral [PDF]

, 2019
The main objective of this paper is to obtain generalization of some Gruss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.
Tariq A. Aljaaidi, D. Pachpatte
semanticscholar   +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

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

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

Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function

Advances in Difference Equations, 2020
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen, Saima Rashid, Zakia Hammouch, Muhammad Aslam Noor, Rehana Ashraf, Yu-Ming Chu   +5 more
doaj   +1 more source

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

Mathematics, 2020
In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
doaj   +1 more source