Results 31 to 40 of about 112 (86)
Extension of Darbo’s fixed point theorem via shifting distance functions and its application
Nonlinear Analysis, 2022 In this paper, we discuss solvability of infinite system of fractional integral equations (FIE) of mixed type. To achieve this goal, we first use shifting distance function to establish a new generalization of Darbo’s fixed point theorem, and then apply ...
Hemant Kumar Nashine, Anupam Das
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On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations
Abstract and Applied Analysis, 2013 We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval [0,a]. To do this, we will use Darbo's fixed-point theorem
İsmet Özdemir +2 more
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Journal of Innovative Applied Mathematics and Computational Sciences, 2023 In this work, we study the existence and the asymptotic stability of the continuous solutions for a general form for neutral integral equations of product type.
Azzeddine Bellour, Mahmoud Bousselsal
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Demonstratio Mathematica, 2019 In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur +2 more
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Fractal and FractionalThis work explores the existence and uniqueness criteria for the solution of hybrid Caputo–Hadamard fractional sequential differential equations (HCHFSDEs) by employing Darbo’s fixed-point theorem. Fractional differential equations play a pivotal role in
Muhammad Yaseen +4 more
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Controllability of nonlinear implicit fractional integrodifferential systems
International Journal of Applied Mathematics and Computer Science, 2014 In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a ...
Balachandran Krishnan, Divya Shanmugam
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Existence and stability of solutions for a system of quadratic integral equations in Banach algebras
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle.
Said Baghdad
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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 +2 more
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On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type
Fractal and Fractional, 2023 In this article, we study the existence of a solution to the mixed hybrid fractional differential equations of sequential type with nonlocal integral hybrid boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem
Meraa Arab +5 more
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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 +2 more
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