Results 51 to 60 of about 112 (86)
International Journal of Differential Equations, Volume 2024, Issue 1, 2024.In this paper, we shall establish sufficient conditions for the existence, approximate controllability, and Ulam–Hyers–Rassias stability of solutions for impulsive integrodifferential equations of second order with state‐dependent delay using the resolvent operator theory, the approximating technique, Picard operators, and the theory of fixed point ...
Abdelhamid Bensalem +4 more
wiley +1 more source
Existence and asymptotic stability of continuous solutions for integral equations of product type
Journal of Innovative Applied Mathematics and Computational Sciences, 2021 In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
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Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space
Advances in Difference Equations, 2021 A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem +2 more
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International Journal of Differential Equations, 2020 Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi +3 more
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Existence and Stability of a Caputo Variable-Order Boundary Value Problem
Journal of Mathematics, 2021 In this study, we investigate the existence of a solution to the boundary value problem (BVP) of variable-order Caputo-type fractional differential equation by converting it into an equivalent standard Caputo (BVP) of the fractional constant order with ...
Amar Benkerrouche +3 more
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Abstract and Applied Analysis, 2014 The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type.
Mohamed Abdalla Darwish, Józef Banaś
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Electronic Journal of Differential Equations, 2006 We give an existence theorem for some functional-integral equations which includes many key integral and functional equations that arise in nonlinear analysis and its applications.
Josefa Caballero +2 more
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On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order. [PDF]
Entropy (Basel), 2022 Benkerrouche A +3 more
europepmc +1 more source
Solvability of integral equations via the technique of measures of noncompactness
Miskolc Mathematical NotesMotivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction.
Babak Mohammadi +2 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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