Results 1 to 10 of about 855 (128)
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations
Advances in Difference Equations, 2017 In this paper, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem, we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of Hadamard fractional differential ...
Saïda Abbas +3 more
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Coupled Pettis Hadamard fractional differential systems with retardation and anticipation [PDF]
Surveys in Mathematics and its Applications, 2021 In this article, we study some existence results concerning the weak solutions for some coupled systems of Hadamard fractional differential equations with the mixed arguments of anticipations and retardation.
Sa\id Abbas +3 more
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Leray–Schauder Fixed Point Theorems for Block Operator Matrix with an Application
Journal of Mathematics, 2021 In this paper, we establish some new variants of Leray–Schauder-type fixed point theorems for a 2×2 block operator matrix defined on nonempty, closed, and convex subsets Ω of Banach spaces. Note here that Ω need not be bounded.
Mohamed Amine Farid +2 more
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On the Hausdorff measure of non-compactness for the parametrized Prokhorov metric [PDF]
, 2016 We quantify Prokhorov's Theorem by establishing an explicit formula for the Hausdorff measure of non-compactness (HMNC) for the parametrized Prokhorov metric on the set of Borel probability measures on a Polish space.
Berckmoes, Ben
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Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies
Advances in Difference Equations, 2018 In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak
Saïd Abbas +3 more
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Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces [PDF]
Opuscula Mathematica, 2012 The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra, Fatima-Zohra Mostefai
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On nonlocal problems for semilinear second order differential inclusions without compactness
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Existence of mild solutions for a nonlocal abstract problem driven by a semilinear second order differential inclusion is studied in Banach spaces in the lack of compactness both on the fundamental system generated by the linear part and on the nonlinear
Tiziana Cardinali, Giulia Duricchi
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International Journal of Differential Equations, 2018 By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
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Weak Solutions for Partial Random Hadamard Fractional Integral Equations with Multiple Delays
Discrete Dynamics in Nature and Society, 2017 We present some results concerning the existence of weak solutions for some functional integral equations of Hadamard fractional order with random effects and multiple delays by applying Mönch’s and Engl’s fixed point theorems associated with the ...
Saïd Abbas +3 more
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Journal of Inequalities and Applications, 2023 This research deals with Krasnoselskii’s fixed point theorem where the entries operators do not need to be G-weakly compact and contraction. These results were obtained by using the so-called generalized measure of weak noncompactness and some user ...
Noura Laksaci +4 more
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