Results 1 to 10 of about 112 (86)

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   +2 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   +2 more sources

On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives

Journal of Function Spaces, 2022
The main intention of this research article is to introduce a new class of generalized fractional differential equations that fall into the categories of Sturm-Liouville’s, Langevin’s, and hybrid’s problems involving Y-Caputo fractional derivatives.
Abdellatif Boutiara, Hanan A. Wahash, Heba Y. Zahran, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty, El Sayed Yousef   +5 more
doaj   +2 more sources

A New Common Fixed Point Theorem for Three Commuting Mappings

Axioms, 2020
In the present paper, we propose a common fixed point theorem for three commuting mappings via a new contractive condition which generalizes fixed point theorems of Darbo, Hajji and Aghajani et al.
Meryeme El Harrak, Ahmed Hajji
doaj   +1 more source

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   +1 more source

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

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   +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

Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

Cubo, 2023
In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the
Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra   +3 more
doaj   +1 more source