Results 21 to 30 of about 289 (110)

The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness

Mathematics, 2020
Under the idea of a measure of noncompactness, some fixed point results are proposed and a generalization of Darbo’s fixed point theorem is given in this manuscript.
Hasanen A. Hammad, Amal A. Khalil
doaj   +1 more source

Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness

Demonstratio Mathematica, 2023
In this article, some new generalizations of Darbo’s fixed-point theorem are given and the solvability of an infinite system of weighted fractional integral equations of a function with respect to another function is studied.
Das Anupam, Paunović Marija, Parvaneh Vahid, Mursaleen Mohammad, Bagheri Zohreh   +4 more
doaj   +1 more source

New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations

Journal of Inequalities and Applications, 2023
In this paper, Darbo’s fixed point theorem is generalized and it is applied to find the existence of solution of a fractional integral equation involving an operator with iterative relations in a Banach space.
Sudip Deb, Hossein Jafari, Anupam Das, Vahid Parvaneh   +3 more
doaj   +1 more source

Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam‐Hyers‐Rassias Stability

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary ...
Shahram Rezapour, Zoubida Bouazza, Mohammed Said Souid, Sina Etemad, Mohammed K. A. Kaabar, Tianqing An   +5 more
wiley   +1 more source

Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo‐Type Theorem

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Two concepts—one of Darbo‐type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems. We first demonstrate the generalized Darbo‐type fixed point theorems involving the concept of continuous functions.
S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi, Santosh Kumar   +3 more
wiley   +1 more source

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
doaj   +1 more source

Investigation of the Generalized Proportional Langevin and Sturm–Liouville Fractional Differential Equations via Variable Coefficients and Antiperiodic Boundary Conditions with a Control Theory Application Arising from Complex Networks

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This article studies the existence theory of an innovation type of generalized proportional fractional differential equations with the assistance of the technique of Kuratowski measure on noncompactness combined with the fixed‐point theorem of Mönch.
Abdellatif Boutiara, Mohammed K. A. Kaabar, Zailan Siri, Mohammad Esmael Samei, Xiao-Guang Yue, Abdellatif Ben Makhlouf   +5 more
wiley   +1 more source

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   +1 more source

A Study on ψ‐Caputo‐Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ‐Caputo with different orders. Using an advantageous generalization of Krasnoselskii’s fixed point theorem, we establish results of at least one solution, whereas the ...
Fouad Fredj, Hadda Hammouche, Mohammed S. Abdo, Wedad Albalawi, Abdulrazak H. Almaliki, Melike Kaplan   +5 more
wiley   +1 more source

On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

Arab Journal of Basic and Applied Sciences, 2020
In this article, we establish some results for the existence of solution of nonlinear functional integral equations by using Darbo’s fixed point theorem in Banach algebra.
Amar Deep, Deepmala, Cemil Tunç
doaj   +1 more source