Results 1 to 10 of about 57 (57)
Weak Solution for a Fractional Langevin Inclusion with the Katugampola–Caputo Fractional Derivative
Fractal and Fractional, 2023 In this work, we examine the existence of weak solution for a class of boundary value problems involving fractional Langevin inclusion with the Katugampola–Caputo fractional derivative under specified conditions contain the Pettis integrability ...
Lamya Almaghamsi
doaj +1 more source
Solvability of functional quadratic integral equations with perturbation [PDF]
Opuscula Mathematica, 2013 We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak ...
Mohamed M. A. Metwali
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source