Results 11 to 20 of about 4,901 (302)
Inverse Problems for Degenerate Fractional Integro-Differential Equations
Mathematics, 2020 This paper deals with inverse problems related to degenerate fractional integro-differential equations in Banach spaces. We study existence, uniqueness and regularity of solutions to the problem, claiming to extend well known studies for the case of non ...
Mohammed Al Horani +3 more
doaj +2 more sources
A Class of Fractional Degenerate Evolution Equations with Delay
Mathematics, 2020 We establish a class of degenerate fractional differential equations involving delay arguments in Banach spaces. The system endowed by a given background and the generalized Showalter–Sidorov conditions which are natural for degenerate type equations. We
Amar Debbouche, Vladimir E. Fedorov
doaj +2 more sources
Stochastic Stability of Differential Equations in Abstract Spaces [PDF]
, 2019 The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems.
Liu, Kai
openaire +2 more sources
Some problems in abstract stochastic differential equations on Banach spaces
, 2011 This thesis studies abstract stochastic differential equations on Banach spaces. The well-posedness of abstract stochastic differential equations on such spaces is a recent result of van Neerven, Veraar and Weis, based on the theory of stochastic integration of Banach space valued processes constructed by the same authors.
Batty, Charles, Crewe, Paul
core +5 more sources
Electronic Journal of Differential Equations, 2017 The aim of this article is to study the existence of solutions for infinite systems of differential equations. We look for solutions in Banach tempered sequence spaces, using techniques associated with measures of noncompactness, and results from ...
Jozef Banas, Monika Krajewska
doaj +1 more source
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Hauret, P. +12 more
core +1 more source
Advances in Difference Equations, 2021 In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem +3 more
doaj +1 more source
Alexandria Engineering Journal, 2023 This article aims to study the existence of the solutions to the infinite system of Hilfer fractional differential equations in tempered sequence spaces.
Inzamamul Haque +2 more
doaj +1 more source
Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
core +1 more source
Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs [PDF]
, 2023 We develop a functional framework suitable for the treatment of partial differential equations and variational problems on evolving families of Banach spaces.
Elliott, Charles M. (Prof. Dr.) +10 more
core +1 more source