Ain Shams Engineering Journal, 2023 The study of approximate controllability results ensures the essential conditions required for a solution. Keeping the importance of the study, we initiate the existence and approximate controllability an Atangana-Baleanu-Caputo (ABC)-fractional order ...
Yong-Ki Ma +5 more
doaj +1 more source
Alexandria Engineering Journal, 2020 Very recently, Yang, Abdel-Aty and Cattani (2019) introduced a new and intersting fractional derivative operator with non-singular kernel involving Rabotnov fractional-exponential function.
Mohamed Jleli +3 more
doaj +1 more source
About the Use of Generalized Forms of Derivatives in the Study of Electromagnetic Problems
Applied Sciences, 2021 The use of non-local operators, defining Riemann–Liouville or Caputo derivatives, is a very useful tool to study problems involving non-conventional diffusion problems.
Giulio Antonini +4 more
doaj +1 more source
Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]
, 2011 We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas +29 more
core +3 more sources
Non-instantaneous impulsive fractional integro-differential equations with proportional fractional derivatives with respect to another function [PDF]
, 2023 This paper concerns the existence and uniqueness of solutions of non- instantaneous impulsive fractional integro-differential equations with proportional fractional derivatives with respect to another function.
ABBAS, Mohamed I.
core +2 more sources
Darboux problem for fractional partial hyperbolic differential inclusions on unbounded domains with delay [PDF]
, 2022 In this paper we investigate the existence of solutions of initial value problems (IVP for short), for partial hyperbolic functional and neutral differential inclusions of fractional order involving Caputo fractional derivative with finite delay by using
HELAL, Mohamed
core +2 more sources
Implicit Caputo-Fabrizio fractional differential equations with delay [PDF]
, 2023 This article deals with some existence and uniqueness results for several classes of implicit fractional differential equations with delay. Our results are based on some fixed point theorems.
ABBAS, Saïd +3 more
core +2 more sources
Weighted fractional differential equations with infinite delay in Banach spaces
Open Mathematics, 2016 This paper is devoted to the study of fractional differential equations with Riemann-Liouville fractional derivatives and infinite delay in Banach spaces. The weighted delay is developed to deal with the case of non-zero initial value, which leads to the
Dong Qixiang, Liu Can, Fan Zhenbin
doaj +1 more source
Nabla generalized fractional Riemann-Liouville calculus on time scales with an application to dynamic equations [PDF]
, 2022 We introduce more general concepts of nabla Riemann-Liouville fractional integrals and derivatives ontime scales. Such generalizations on time scales help us to study relations between fractional differenceequations and fractional differential equations.
BENAISSA CHERIF, Amin +1 more
core +2 more sources
Local density of Caputo-stationary functions in the space of smooth functions [PDF]
, 2016 We consider the Caputo fractional derivative and say that a function is Caputo-stationary if its Caputo derivative is zero. We then prove that any $C^k\big([0,1]\big)$ function can be approximated in $[0,1]$ by a a function that is Caputo-stationary in $[
Bucur, Claudia
core +2 more sources