Results 31 to 40 of about 196,053,663 (109)

Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions

Abstract and Applied Analysis, 2014
We study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions D0+α[x(t)/f(t,x(t),y(t))]=g(t,x(t),y(t)),D0+αy(t)/f(t,y(t),x(t))=g(t,y(t),x(t ...
Josefa Caballero, Mohamed Abdalla Darwish, Kishin Sadarangani, Wafa M. Shammakh   +3 more
doaj   +1 more source

A New Common Fixed Point Theorem for Three Commuting Mappings

, 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
core   +1 more source

On a measure of noncompactness in the space of regulated functions and its applications

Advances in Nonlinear Analysis, 2018
In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Banaś Józef, Zając Tomasz
doaj   +1 more source

An Enhanced Darbo-Type Fixed Point Theorems and Application to Integral Equations

International Journal of Scientific Research in Science and Technology
This manuscript introduces a generalized operator and presents new Darbo-type fixed point theorems pivotal in the existence theory of integral and differential equations. The significance of these theorems lies in their ability to provide conditions under which solutions to complex mathematical problems can be guaranteed.
Talekar, Suhas, Arekar, Dadasaheb, Nikam, Vishal, Kandwal, Kuldeep   +3 more
openaire   +2 more sources

Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]

, 2010
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi, Elagan, Sayed Khalil   +1 more
core   +1 more source

Uniqueness Results for Positive Solutions of Ψ–Caputo Fractional Differential Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper establishes rigorous existence and uniqueness results for positive solutions of boundary value problems involving the Ψ–Caputo fractional operator. The equations combine continuous nonlinear terms with Riemann–Liouville fractional integrals and are subject to newly formulated integral boundary conditions.
Hasan Rasouli, Yelda Küçükevcilioğlu
wiley   +1 more source

A Novel Discrete Approximation for Nonlinear Variable‐Order Hadamard Fractional BVP With Finite Delay via Measures of Noncompactness

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear boundary value problems (BVPs) for Hadamard‐type variable‐order (VO) fractional differential equations (FDEs) with delay. The VO framework poses substantial analytical challenges because several structural properties that are available for constant‐order (CO) fractional models are no longer directly ...
Insaf Naima Telli, Benoumran Telli, Mohammed Said Souid, Sabri T. M. Thabet, Taoufik Moulahi, Smritijit Sen   +5 more
wiley   +1 more source

On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral‐type Hölder space Jα,β. The constructed model blends generalized fractional dynamics with proportional delay terms, offering a unified setting for studying systems with memory‐dependent behavior.
Mohamed M. A. Metwali, Bandar Alreshidi, Shami A. M. Alsallami, Smritijit Sen   +3 more
wiley   +1 more source

A fixed point theorem for operators of Meir–Keeler type via the degree of nondensifiability and its application in dynamic programming

, 2020
In this paper, we prove a fixed point theorem for operators of Meir–Keeler type by using the concept of degree of nondensifiability. As an application of our result, we study the existence of solutions for a class of functional equations appearing in ...
Sadarangani, K., Harjani, J., Caballero, J.   +2 more
core   +1 more source

Existence and Stability of a Coupled (k, ϖ)–Hilfer Fractional System With Substrip and Multipoint Boundary Conditions via Darbo’s Fixed Point Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a nonlinear coupled system of (k, ϖ)‐Hilfer fractional integro‐differential equations with substrip and multipoint boundary conditions. A coupled measure of noncompactness is introduced on the product weighted space C1−ζk/k;ϖ01,×C1−λk/k;ϖ01,. Darbo’s fixed point theorem, combined with this measure, yields existence results under
Khaled Aldwoah, L. M. Abdalgadir, Mohammed Almalahi, M. M. Rashed, Amel Touati, Bakri Younis, Smritijit Sen   +6 more
wiley   +1 more source