Results 31 to 40 of about 713,574 (373)
Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method
Advances in Mathematical Physics, 2021 In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in
Suleyman Cetinkaya +2 more
doaj +1 more source
Universal Journal of Mathematics and Applications, 2019 In this paper, the existence and uniqueness problem of the initial and boundary value problems of the linear fractional Caputo-Fabrizio differential equation of order $\sigma \in (1,2]$ have been investigated.
Şuayip Toprakseven
doaj +1 more source
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
Alexandria Engineering Journal, 2023 In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla +2 more
doaj +1 more source
Transform of Riccati equation of constant coefficients through fractional procedure [PDF]
, 2003 We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation with the free term expressed as ...
A L Madue o +8 more
core +2 more sources
Advances in Differential Equations, 2019 In this paper, we study the uniqueness of solutions for a fractional differential equation with dependence on the first order derivative. By means of Banach’s contraction mapping principle and a weighted norm in product space, sufficient conditions for ...
Zhenzhen Yue, Y. Zou
semanticscholar +1 more source
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 +1 more
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 +2 more
core +1 more source
Maximum Principle for General Controlled Systems Driven by Fractional Brownian Motions [PDF]
, 2012 We obtain a maximum principle for stochastic control problem of general controlled stochastic differential systems driven by fractional Brownian motions (of Hurst parameter $H>1/2$). This maximum principle specifies a system of equations that the optimal
Han, Yuecai, Hu, Yaozhong, Song, Jian
core +2 more sources
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 +3 more
semanticscholar +1 more source