Results 11 to 20 of about 5,964,053 (112)

Solvability of Implicit Fractional Order Integral Equation in ℓp1≤p<∞ Space via Generalized Darbo’s Fixed Point Theorem

Journal of Function Spaces, 2022
We present a generalization of Darbo’s fixed point theorem in this article, and we use it to investigate the solvability of an infinite system of fractional order integral equations in ℓp1 ...
Inzamamul Haque, Javid Ali, M. Mursaleen
doaj   +3 more sources

Applicability of Darbo’s Fixed Point Theorem on the Existence of a Solution to Fractional Differential Equations of Sequential Type

Journal of Mathematics, 2023
In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral boundary conditions.
Muath Awadalla, Kinda Abuasbeh, Murugesan Manigandan, Ahmed A. Al Ghafli, Hassan J. Al Salman   +4 more
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A generalized Darbo’s fixed point theorem and its applications to different types of hybrid differential equations

Boundary Value Problems, 2023
In this article, a generalization of Darbo’s fixed point theorem using a new contraction operator is obtained to solve our proposed hybrid differential and fractional hybrid differential equations in a Banach space.
Anupam Das, Sudip Deb, Rupanjali Goswami, Tazuddin Ahmed, Zeynab Izadi, Vahid Parvaneh   +5 more
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Existence and Uniqueness of Solutions for a Third-Order Three-Point Boundary Value Problem via Measure of Noncompactness

Journal of Mathematics, 2022
In this paper, we consider a nonlinear third-order three-point boundary value problem and give the existence and uniqueness of solutions by constructing Green’s function and using its properties.
Chen Yang
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Extension of Darbo’s fixed point theorem via shifting distance functions and its application [PDF]

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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Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations

Fractal and Fractional
This 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, Sadia Mumtaz, Reny George, Azhar Hussain, Hossam A. Nabwey   +4 more
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Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation

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, Gopal Dhananjay, Kumam Poom   +2 more
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On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique [PDF]

Mathematics, 2021
In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point
Ahmed Refice, Mohammed Said Souid, Ivanka Stamova   +2 more
doaj   +4 more sources

Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces

Mathematics, 2020
In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
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Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Mathematics, 2023
In this manuscript, we investigate the issue of approximate controllability for a certain class of abstract neutral integro-differential equations having non-instantaneous impulsions and being subject to state-dependent delay.
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Michal Fečkan   +3 more
doaj   +2 more sources