Results 31 to 40 of about 145 (127)

Some fractional integral inequalities for the Katugampola integral operator

AIMS Mathematics, 2019
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Ravi Shanker Dubey, Pranay Goswami
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Existence and Ulam–Hyers Stability Analysis for Coupled Differential Equations of Fractional-Order with Nonlocal Generalized Conditions via Generalized Liouville–Caputo Derivative

Fractal and Fractional, 2022
In this paper, we investigate the existence and Hyers–Ulam stability of a coupled differential equations of fractional-order with multi-point (discrete) and integral boundary conditions that are related to Katugampola integrals.
Muthaiah Subramanian, Shorog Aljoudi
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SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS [PDF]

Kragujevac Journal of Mathematics, 2021
In this paper, we introduce some Simpson’s type integral inequalities via the Katugampola fractional integrals for functions whose first derivatives at certain powers are s-convex (in the second sense). The Katugampola fractional integrals are generalizations of the Riemann–Liouville and Hadamard fractional integrals.
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Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

Journal of Mathematics, 2020
The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity ...
Yu-Ming Chu, Muhammad Uzair Awan, Muhammad Zakria Javad, Awais Gul Khan   +3 more
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Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications [PDF]

Sahand Communications in Mathematical Analysis
In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals.
Muhammad Talha, Artion Kashuri, Soubhagya Sahoo   +2 more
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New trapezium type inequalities of coordinated distance-disturbed convex type functions of higher orders via extended Katugampola fractional integrals

Advances in Difference Equations, 2021
In this paper we establish some new results on trapezium type inequalities of coordinated distance-disturbed ( ℓ 1 , h 1 ) $(\ell _{1},h_{1})$ – ( ℓ 2 , h 2 ) $(\ell _{2},h_{2})$ -convex functions of higher orders ( σ 1 , σ 2 ) $(\sigma _{1},\sigma _{2})$
Artion Kashuri, Sajid Iqbal, Rozana Liko, Muhammad Samraiz, Thabet Abdeljawad   +4 more
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Ostrowski-type inequalities for n-polynomial P $\mathscr{P}$ -convex function for k-fractional Hilfer–Katugampola derivative

Journal of Inequalities and Applications, 2021
In this article, we develop a novel framework to study a new class of convex functions known as n-polynomial P $\mathscr{P} $ -convex functions. The purpose of this article is to establish a new generalization of Ostrowski-type integral inequalities by ...
Samaira Naz, Muhammad Nawaz Naeem, Yu-Ming Chu   +2 more
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Ostrowski-Type Fractional Integral Inequalities: A Survey

Foundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq, Sotiris K. Ntouyas, Bashir Ahmad   +2 more
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New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions

Alexandria Engineering Journal, 2022
In this article the authors introduce the concept of two dimensional approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex function that generalize several known coordinate convexity classes.
Ying-Qing Song, Saad Ihsan Butt, Artion Kashuri, Jamshed Nasir, Muhammad Nadeem   +4 more
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New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

Demonstratio Mathematica, 2023
The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq, Khan Muhammad Adil, Faisal Shah, Alsulami Hamed H., Alhodaly Mohammed Sh.   +4 more
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