Results 61 to 70 of about 291,483 (125)

Solvability of Tripled Langevin Fractional Differential Systems Involving ψ‐Caputo Derivatives Using Fixed Point Techniques

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This work is devoted to the study of a nonlinear tripled system of Langevin‐type fractional differential equations involving generalized ψ‐Caputo derivatives in the setting of Banach spaces. The proposed framework extends several existing results from finite‐dimensional and specialized functional spaces to more general infinite‐dimensional environments.
Hasanen A. Hammad, Manal Elzain Mohamed Abdalla, Bilal Bilalov   +2 more
wiley   +1 more source

Inequalities for Katugampola conformable partial derivatives

Journal of Inequalities and Applications, 2019
In the paper, we introduce two concepts of Katugampola conformable partial derivatives and α-conformable integrals. As applications, we establish Opial type inequalities for Katugampola conformable partial derivatives and α-conformable integrals. The new
Chang-Jian Zhao, Wing-Sum Cheung
doaj   +1 more source

Existence and Stability Theorems for Implicit Neutral Fractional Integrodifferential Equations With Computational Results

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla, Hasanen A. Hammad, Tarek Aboelenen, Mohammed S. Abdo   +3 more
wiley   +1 more source

A Novel Computational Technique for Numerical Approximation of Nonlinear Fractional Dynamical Systems: Convergence and Efficiency Analysis

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The systems are formulated in terms of the Atangana–Baleanu–Caputo (ABC) fractional derivative, which is well‐suited to the modeling of memory and nonlocal effects.
Faten H. Damag, Amin Saif, Mohammed Alsharafi, Lakhlifa Sadek   +3 more
wiley   +1 more source

IMPROVED HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS

, 2019
In this paper, we gave adjustments for some results in the paper [1], and proved three new Katugampola fractional Hermite-Hadamard type inequalities for convex functions by using the left and the right fractional integrals independently.
KÖROĞLU, TUNCAY, Sanli, Zeynep, KUNT, MEHMET   +2 more
core  

Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives

International Journal of Analysis and Applications, 2017
In this paper, we extend the definition of the fractional integral and derivative introduced in [Appl. Math. Comput. 218 (2011)] by Katugampola, which exhibits nice properties only for numbers whose real parts lie in [0,1].
Basak Karpuz, Umut M. Ozkan, Tugba Yalcin, Mustafa K. Yildiz   +3 more
doaj   +2 more sources

On the Theory of n‐Polynomial ϕ‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang, Mehtap Kübra Polat, Ferhat Polat, Çetin Yıldız, Lakhlifa Sadek   +4 more
wiley   +1 more source

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

Journal of Mathematics, Volume 2026, Issue 1, 2026.
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. The constructed model blends generalized fractional dynamics with proportional delay terms, offering a unified setting for studying systems with memory‐dependent behavior.
Mohamed M. A. Metwali, Bandar Alreshidi, Shami A. M. Alsallami, Smritijit Sen   +3 more
wiley   +1 more source

Representation and Weak Convergence of Stochastic Integrals with Fractional Integrator Processes [PDF]

This paper considers the asymptotic distribution of the covariance of a nonstationary fractionally integrated process with the stationary increments of another such process - possibly, itself.
James Davidson, Nigar Hashimzade
core  

Some new Milne-type inequalities via Katugampola fractional integrals

Drawing inspiration from the findings presented in references [10] and [16], this study aims to broaden the scope of Milne-type inequalities within the context of Katugampola fractional integrals, thus enriching the toolbox of fractional calculus ...
Saleh, Wedad, LAKHDARI, Abdelghani, Meftah, Badreddine   +2 more
core   +1 more source