Results 51 to 60 of about 697,977 (380)

Fractional Differential Equations 2012 [PDF]

International Journal of Differential Equations, 2013
Journal of Differential Equations dédié aux équations différentielles fractionnaires (FDE). Ces dernières années, un nombre croissant d'articles rédigés par de nombreux auteurs de divers domaines de la science et de l'ingénierie traitent de systèmes dynamiques décrits par des équations aux dérivées partielles fractionnaires.
Fawang Liu, Om P. Agrawal, Shaher Momani, Nikolai Leonenko, Wen Chen   +4 more
openaire   +4 more sources

Differential transform method for conformable fractional partial differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative.
M. Eslami, S.A. Taleghani
doaj   +1 more source

Asymptotic behavior of solutions of linear multi-order fractional differential equation systems

, 2017
In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems.
Diethelm, Kai, Siegmund, Stefan, Tuan, H. T.   +2 more
core   +1 more source

New uniqueness results for boundary value problem of fractional differential equation

, 2018
In this paper, uniqueness results for boundary value problem of fractional differential equation are obtained. Both the Banach's contraction mapping principle and the theory of linear operator are used, and a comparison between the obtained results is ...
Yujun Cui, Wenjie Ma, Qiao‐Xi Sun, Xinwei Su   +3 more
semanticscholar   +1 more source

Analytical solutions of linear inhomogeneous fractional differential equation with continuous variable coefficients

Advances in Differential Equations, 2019
This paper proposes a series-representations for the solution of initial value problems of linear inhomogeneous fractional differential equation with continuous variable coefficients.
S. Pak, Hui-chol Choi, Kinam Sin, Kwang Ri   +3 more
semanticscholar   +1 more source

Generalized iterative method for the solution of linear and nonlinear fractional differential equations with composite fractional derivative operator

AIMS Mathematics, 2020
In present paper, we introduced generalized iterative method to solve linear and nonlinear fractional differential equations with composite fractional derivative operator.
Krunal B. Kachhia, Jyotindra C. Prajapati   +1 more
doaj   +1 more source

A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation [PDF]

, 2009
The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Chartbupapan, Watcharin, Bagdasar, Ovidiu, Mukdasai, Kanit   +2 more
core   +1 more source

Nonlocal Fractional Differential Equations and Applications [PDF]

Complex Analysis and Operator Theory, 2020
Boundary value problems for nonlocal fractional elliptic equations with parameter in Banach spaces are studied. Uniform $L_p$-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives.
openaire   +3 more sources

Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative

Arab Journal of Basic and Applied Sciences, 2018
The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
doaj   +1 more source

A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients

, 2018
In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
core   +2 more sources