Results 21 to 30 of about 1,298 (143)
Filomat, 2022 In this paper, we show that an unbounded weakly S0-demicompact linear operator T, introduced in [18], acting on a Banach space, can be characterized by some measures of weak noncompactness. Moreover, our results are illustrated to discuss the relationship with Fredholm and upper semi-Fredholm operators as well as the stability of the ...
Aref Jeribi, Bilel Krichen, Makrem Salhi
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Boundary Value Problems, 2023 In this paper, we present the definitions of fractional integrals and fractional derivatives of a Pettis integrable function with respect to another function.
Hussein A. H. Salem +2 more
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Existence of weak solutions to stochastic evolution inclusions [PDF]
, 2004 We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinear term is multivalued and satisfies a condition which is more heneral than
De Fitte, Paul Raynaud +2 more
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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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