Existence and Ulam stability for partial impulsive discontinuous fractional differential inclusions in Banach algebras
type: Item
instance of: scholarly article
title: Existence and Ulam stability for partial impulsive discontinuous fractional differential inclusions in Banach algebras
zbMATH Open document ID: 1331.35360
author: Said Abbas
author: Mouffak Benchohra
published in: Mediterranean Journal of Mathematics
publication date: 2015-11-18T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R12
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35R70
zbMATH DE Number: 6510987
zbMATH Keywords: partial fractional differential inclusion
zbMATH Keywords: left-sided mixed Riemann-Liouville integral
zbMATH Keywords: Caputo fractional-order derivative
zbMATH Keywords: fixed point inclusion
zbMATH Keywords: Banach algebra
zbMATH Keywords: impulse
zbMATH Keywords: Ulam-Hyers stability
MaRDI profile type: Publication
full work available at URL: s00009-014-0473-3
OpenAlex ID: W1997780996
cites work: Q3579770
cites work: Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative
cites work: Q3087382
cites work: IMPULSIVE PARTIAL HYPERBOLIC DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER
cites work: Fractional order impulsive partial hyperbolic differential inclusions with variable times
cites work: Topics in fractional differential equations
cites work: Darboux problem for fractional-order discontinuous hyperbolic partial differential equations in Banach algebras
cites work: Ulam-Hyers stability for operatorial equations
cites work: Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations
cites work: Existence results for neutral functional differential inclusions in Banach algebras
cites work: Applications of fractional calculus in physics
cites work: On the Stability of the Linear Functional Equation
cites work: Stability of functional equations in several variables
cites work: Hyers-Ulam-Rassias stability of functional equations in mathematical analysis
cites work: Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
cites work: Q4367585
cites work: Q3995625
cites work: Q5529751
cites work: Q5409440
cites work: Q3141902
cites work: Ulam-Hyers stability of operational inclusions in complete gauge spaces
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: Q3064458
cites work: Q3406705
cites work: Q4853771
cites work: Q3259049
cites work: Existence of solutions of systems of partial differential equations of fractional order
cites work: The Darboux problem for an implicit fractional-order differential equation
cites work: Ulam's type stability of impulsive ordinary differential equations
cites work: Ulam stability and data dependence for fractional differential equations with Caputo derivative
cites work: New concepts and results in stability of fractional differential equations
cites work: Nonlinear impulsive problems for fractional differential equations and Ulam stability
cites work: New stability results for fractional integral equation
DOI: 10.1007/S00009-014-0473-3
description: scientific article; zbMATH DE number 6510987