Results 1 to 10 of about 173,308,892 (93)
Journal of Function Spaces, 2022 The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type.
Xiangling Li +4 more
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Coupled Measure of Noncompactness and Functional Integral Equations
Open Mathematics, 2022 The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC.
Huseyin Isik +2 more
exaly +2 more sources
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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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 +3 more
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On solution of generalized proportional fractional integral via a new fixed point theorem
Advances in Difference Equations, 2021 The aim of this paper is the solvability of generalized proportional fractional(GPF) integral equation at Banach space E $\mathbb{E}$ . Herein, we have established a new fixed point theorem which is then applied to the GPF integral equation in order to ...
Anupam Das +3 more
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Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations
Mathematics, 2023 Here, we discuss the solvability of a class of hybrid functional integral equations by applying Darbo’s fixed point theorem and the technique of the measure of noncompactness (MNC). This study has been located in space BC (R+).
Ahmed M. A. El-Sayed +2 more
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Advances in Difference Equations, 2021 In this work, we consider a generalized quantum fractional Sturm–Liouville–Langevin difference problem with terminal boundary conditions. The relevant results rely on Mönch’s fixed point theorem along with a theoretical method by terms of Kuratowski ...
Abdelatif Boutiara +3 more
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Journal of Inequalities and Applications, 2023 A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
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On Erdélyi–Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces
Mathematics, 2023 We provide and prove some new fundamental properties of the Erdélyi–Kober (EK) fractional operator, including monotonicity, boundedness, acting, and continuity in both Lebesgue spaces (Lp) and Orlicz spaces (Lφ).
Mohamed M. A. Metwali +1 more
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Mathematics, 2023 This research paper focuses on investigating the solvability of a constrained problem involving a nonlinear delay functional equation subject to a quadratic functional integral constraint, in two significant cases: firstly, the existence of nondecreasing
Ahmed M. A. El-Sayed +2 more
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