Results 11 to 20 of about 289 (110)
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 +5 more
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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
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Solution of a Fractional Integral Equation Using the Darbo Fixed Point Theorem [PDF]
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The concept of measure of noncompactness in a Banach space is used in this paper to extend some tripled fixed point theorems. We prove the existence of fractional integral equation solutions using a generalized Darbo fixed point theorem.
Chandra Deuri B. +3 more
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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
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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 +4 more
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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 +4 more
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Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations
Mathematics, 2019 In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach
Anupam Das, Bipan Hazarika, Poom Kumam
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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
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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
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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 +2 more
wiley +1 more source