Results 11 to 20 of about 147 (119)

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   +2 more sources

Better Approximation of Milne-Type Inequalities via Convex Functions and ABK Fractional Integral Operators

Journal of Applied Mathematics
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne-type inequalities are derived for functions
Muhammad Bilal Ahmed, Khuram Ali Khan, Ammara Nosheen, Ndolane Sene   +3 more
doaj   +2 more sources

On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β

Journal of Mathematics
This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral-type Hölder space Jα,β.
Mohamed M. A. Metwali, Bandar Alreshidi, Shami A. M. Alsallami   +2 more
doaj   +2 more sources

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

An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions

Journal of Inequalities and Applications, 2023
In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities (LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola–Hilfer fractional derivatives, supplemented by nonlocal, integral, and ...
Sabri T. M. Thabet, Imed Kedim
doaj   +1 more source

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
doaj   +1 more source

The Necessary and Sufficient Optimality Conditions for a System of FOCPs with Caputo–Katugampola Derivatives

مجلة بغداد للعلوم, 2023
The necessary optimality conditions with Lagrange multipliers  are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free.
Moataz Abbas Holel , Sameer Qasim Hasan
doaj   +1 more source

On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented.
Artion Kashuri, Muhammad Talha, Soubhagya Sahoo   +2 more
doaj   +1 more source

Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative

Advances in Difference Equations, 2021
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz, Muhammad Nawaz Naeem, Yu-Ming Chu   +2 more
doaj   +1 more source