Results 11 to 20 of about 163 (105)

Positive solutions of fractional integral equations by the technique of measure of noncompactness. [PDF]

J Inequal Appl, 2017
In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo’s fixed point theorem. To achieve the goal, we first establish new fixed
Nashine HK, Arab R, Agarwal RP, De la Sen M.   +3 more
europepmc   +3 more sources

[Formula: see text]-Contraction in terms of measure of noncompactness with application for nonlinear integral equations. [PDF]

J Inequal Appl, 2017
In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a F ( ψ , φ ) $F(\psi,\varphi)$ -contraction in terms of a measure of noncompactness.
Nikbakhtsarvestani F, Vaezpour SM, Asadi M.   +2 more
europepmc   +3 more sources

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   +2 more sources

Solvability of functional stochastic integral equations via Darbo’s fixed point theorem

Alexandria Engineering Journal, 2021
Using the techniques of Darbo’s fixed-point theorem associated with measures of noncompactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as ...
Amar Deep, Syed Abbas, Bhupander Singh, M.R. Alharthi, Kottakkaran Sooppy Nisar   +4 more
doaj   +2 more sources

Common fixed point theorems for two and three mappings

Fixed Point Theory and Applications, 2020
In this paper, we provide common fixed point theorems for two and three commuting mappings which generalize Darbo’s fixed point theorem. An explicit example is given for illustration.
Meryeme El Harrak, Ahmed Hajji
doaj   +2 more sources

Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations [PDF]

Nonlinear Analysis, 2019
We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the
Moosa Moosa Gabeleh, Philemon Moshokoa, Calogero Vetro   +2 more
doaj   +7 more sources

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   +2 more sources

On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique

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   +5 more sources

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
doaj   +3 more sources

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
doaj   +2 more sources