Results 1 to 10 of about 117 (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

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
doaj   +2 more sources

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   +2 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
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

On System of Mixed Fractional Hybrid Differential Equations

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we find the necessary conditions for the existence and uniqueness of solutions to a system of hybrid equations that contain mixed fractional derivatives (Caputo and Riemann‐Liouville). We also verify the stability of these solutions using the Ulam‐Hyers (U‐H) technique.
Muath Awadalla, Nazim I. Mahmudov, Hüseyin Işık   +2 more
wiley   +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