Results 61 to 70 of about 194,262,804 (90)
MathematicsThis paper investigates a class of implicit neutral fractional integro-differential equations of Volterra–Fredholm type. The equations incorporate a tempered fractional derivative in the Caputo sense, along with both retarded (delay) and advanced ...
Abdulrahman A. Sharif, Muath Awadalla
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Delta‐points and their implications for the geometry of Banach spaces
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We show that the Lipschitz‐free space with the Radon–Nikodým property and a Daugavet point recently constructed by Veeorg is in fact a dual space isomorphic to ℓ1$\ell _1$. Furthermore, we answer an open problem from the literature by showing that there exists a superreflexive space, in the form of a renorming of ℓ2$\ell _2$, with a Δ$\Delta ...
Trond A. Abrahamsen +6 more
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Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces
, 2021 In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22].
Sarigol, M. Ali +3 more
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time‐Varying Delays
Journal of Function Spaces, Volume 2024, Issue 1, 2024.This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time‐varying delays under sufficient conditions. Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler.
Sahar M. A. Maqbol +3 more
wiley +1 more source
MathematicsThis paper is devoted to the study of existence results for a nonlinear Langevin-type fractional (p,q)-difference equation in Banach space. The considered model extends the fractional q-difference Langevin equation by introducing two parameters p and q ...
Mouataz Billah Mesmouli +2 more
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This study addresses the existence of solutions for a novel class of generalized Caputo proportional-type fractional differential Langevin equations involving the p-Laplacian operator.
Ahmed Kajouni +4 more
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Structural Analysis of Coupled ψ-Hilfer Pantograph Langevin Systems via Measure of Noncompactness
Fractal and FractionalThis paper investigates a class of coupled ψ-Hilfer fractional pantograph–Langevin equations with nonlocal integral boundary conditions. By reformulating the problem as an equivalent fixed point equation and employing Mönch’s fixed point theorem together
Muath Awadalla, Dalal Alhwikem
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Cauchy’s problem and measure of noncompactness
, 2023 In This Work, we study the notion the measure of noncompactness and we applied to the fractional differential equations on the goal to proof the existence of solution using fixed point theory combined with the Kuratouskii measure of ...
Encadreur: GAGUI, Bachir +1 more
core
MathematicsThis paper studies local and global existence, uniqueness, and Lipschitz continuous dependence of mild solutions for a semilinear Hadamard fractional integro-differential equation in a Banach space X, with nonlocal initial conditions, a state-dependent ...
Ahmad Al-Omari, Mohammad H. M. Rashid
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The class of F-contraction mappings with a measure of noncompactness
, 2017 In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings.
Francesca Vetro +3 more
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