Results 21 to 30 of about 295 (201)
Analytical solution of the time fractional Navier-Stokes equation
Ain Shams Engineering Journal, 2018 In this paper we will use the residual power series (RPS) method to generate the solution of the nonlinear time fractional Navier-Stokes equation in two dimensions in the form of a rapidly convergent series, where we adopted the definition of Caputo to ...
Khaled K. Jaber, Rami S. Ahmad
doaj +2 more sources
Alexandria Engineering JournalThis paper used the flexible and efficient least squares residual power series method (LSRPSM) to solve the time-fractional derivative Cahn-Hilliard and Gardener equations. The LSRPSM combines the residual power series method (RPSM) and the least squares
A. Hassan +4 more
doaj +2 more sources
International Journal of Analysis and Applications, 2023 This study presents the fractional reduced differential transform method for a nonlinear mutualism model with fractional diffusion. The fractional derivatives are described by Caputo's fractional operator.
Mohamed Ahmed Abdallah +1 more
doaj +3 more sources
Finite element method for time-space-fractional Schrodinger equation
Electronic Journal of Differential Equations, 2017 In this article, we develop a fully discrete finite element method for the nonlinear Schrodinger equation (NLS) with time- and space-fractional derivatives.
Xiaogang Zhu +4 more
doaj +1 more source
A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives [PDF]
The European Physical Journal Plus, 2021 Recently, it is important to try to understand diseases with large mortality rates worldwide, such as infectious disease and cancer. For this reason, mathematical modeling can be used to comment on diseases that adversely affect all people. So, this paper discuss mathematical model presented for the first time that examines the interaction between ...
Uçar, Esmehan, Özdemir, Necati
openaire +4 more sources
Fractional Telegraph Equation with the Caputo Derivative
Fractal and Fractional, 2023 The Cauchy problem for the telegraph equation (Dtρ)2u(t)+2αDtρu(t)+Au(t)=f(t) (0<t≤T,0<ρ<1, α>0), with the Caputo derivative is considered. Here, A is a selfadjoint positive operator, acting in a Hilbert space, H; Dt is the Caputo fractional derivative.
Ravshan Ashurov, Rajapboy Saparbayev
openaire +3 more sources
Nonlinear Engineering, 2023 A nonlinear Boussinesq equation under fractal fractional Caputo’s derivative is studied. The general series solution is calculated using the double Laplace transform with decomposition. The convergence and stability analyses of the model are investigated
Algahtani Obaid J.
doaj +1 more source
On applications of Caputo k-fractional derivatives [PDF]
Advances in Difference Equations, 2019 Abstract This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for Caputo k-fractional derivatives, several integral inequalities are derived ...
Ghulam Farid +5 more
openaire +3 more sources
Positive solutions for boundary-value problems of nonlinear fractional differential equations
Electronic Journal of Differential Equations, 2006 In this paper, we consider the existence and multiplicity of positive solutions for the nonlinear fractional differential equation boundary-value problem $$displaylines{ mathbf{D}_{0+}^alpha u(t)=f(t,u(t)),quad ...
Shuqin Zhang
doaj +1 more source
Results on the controllability of Caputo’s fractional descriptor systems with constant delays [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered.
Beata Sikora
doaj +1 more source