Results 31 to 40 of about 98 (93)

An Implicit Hybrid Delay Functional Integral Equation: Existence of Integrable Solutions and Continuous Dependence

Mathematics, 2021
In this work, we are discussing the solvability of an implicit hybrid delay nonlinear functional integral equation. We prove the existence of integrable solutions by using the well known technique of measure of noncompactnes. Next, we give the sufficient
Ahmed M. A. El-Sayed, Hind H. G. Hashem, Shorouk M. Al-Issa   +2 more
doaj   +1 more source

A Novel Discrete Approximation for Nonlinear Variable‐Order Hadamard Fractional BVP With Finite Delay via Measures of Noncompactness

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear boundary value problems (BVPs) for Hadamard‐type variable‐order (VO) fractional differential equations (FDEs) with delay. The VO framework poses substantial analytical challenges because several structural properties that are available for constant‐order (CO) fractional models are no longer directly ...
Insaf Naima Telli, Benoumran Telli, Mohammed Said Souid, Sabri T. M. Thabet, Taoufik Moulahi, Smritijit Sen   +5 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

Solvability of Nonlinear Integral Equations of Volterra Type

Abstract and Applied Analysis, 2012
This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral
Zeqing Liu, Sunhong Lee, Shin Min Kang
doaj   +1 more source

A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators

Mathematics, 2022
This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators.
Sivajiganesan Sivasankar, Ramalingam Udhayakumar, Muchenedi Hari Kishor, Sharifah E. Alhazmi, Shrideh Al-Omari   +4 more
doaj   +1 more source

Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, Darbo’s fixed‐point theorem is extended by employing Geraghty–𝔽‐contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C([0, ς]), equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented,
Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini, Mohammad W. Alomari   +5 more
wiley   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

Best proximity point results and application to a system of integro-differential equations

Advances in Difference Equations, 2021
In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahim, Manuel De la Sen   +3 more
doaj   +1 more source

An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval.
A. M. A. El-Sayed, Sh. M. Al-Issa, Deepali   +2 more
wiley   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source