# fractional differential equation

## Top PDF fractional differential equation: ### Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

... Laplace’s differential equation by using operational calculus in the framework of distribution ...that differential equation with an inhomogeneous term, and also a fractional ...

11 ### Analytic Solution of Linear Fractional Differential Equation Using Fractional Laplace Transform

... certain fractional differential ...of fractional order differential ...to fractional order differential equation using fractional Laplace Transform with initial ...

6 ### On a fractional differential equation with infinitely many solutions

... Ba?leanu et al Advances in Difference Equations 2012, 2012 145 http //www advancesindifferenceequations com/content/2012/1/145 R ES EA RCH Open Access On a fractional differential equation with infini[.] ...

6 ### Maximal and minimal solution of nonlocal fractional differential equation

... nonlinear fractional differential equation with weighted initial and nonlocal condition and prove the existence and approximation of the ...nonlinear fractional differential ...

22 ### A new method for constructing exact solutions for a time-fractional differential equation

... Abstract In the present paper the process of finding new solutions from previous solutions of a given fractional differential equation (FDE) is considered. For this issue, first we should construct ...

11 ### On the Solutions of a Linear Fractional Differential Equation

... reduced Fractional differential equation. The fractional derivative is considered in the Caputo sense ...the equation into an integral ...to fractional differential ...

9 ### Reduction of Fractional Differential Equation (FDE) to Ordinary Differential Equation (ODE) Hanan Abd Aljabbar

... the fractional differential equation system can be converted into a problem in ordinary differential equation in two ...calculation fractional differential equation ...

6 ### Oscillation for a Class of Fractional Differential Equation

... class fractional differential equation with Robin and Dirichlet boundary ...the differential inequality method, oscillation criteria for a class of nonlinear fractional ...

11 ### Existence and multiplicity of positive solutions for a system of fractional differential equation with parameters

... of fractional order; for details, see ...to fractional diﬀerential equations and their systems, espe- cially coupled systems, were well studied by many authors; for details, see ...

12 ### Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

... The rest of the paper consists of the following sections. In Sect. 2, we present some preliminaries and lemmas to be used to prove our main result. In Sect. 3, we establish the existence and uniqueness theorems of ...

25 ### Impulsive boundary value problem for a fractional differential equation

... integral equation which is diﬀerent from the in- tegral equation [] and [] have obtained, and we apply the Schauder and Banach ﬁxed point theorems to prove the existence and uniqueness of solutions to ...

12 ### Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions

... of fractional nonlocal multi-point boundary value problems of higher order fractional diﬀerential equation, this kind of problems arise from viscoelasticity, electrochemistry control, porous media, ...

16 ### On the analysis of mixed-index time fractional differential equation systems

... Keywords: time fractional differential equations; mixed-index problems; analytical solution; 9.. asymptotic stability 10.[r] ...

28 ### A Novel Numerical Method for Riemann Liouville Fractional Differential Equation

... O h   ( 0    3 ). Additionally, we apply the numerical algorithm to solve the initial value problem involving a Riemann-Liouville fractional derivative. Numerical example shows that, the numerical scheme is ...

6 ### A fractional differential equation model for continuous glucose monitoring data

... The ﬁrst-order deterministic and Brownian motion models do not ﬁt the CGM data. Al- though the deterministic higher-order integer and fractional-order models give much bet- ter ﬁts to the observed data than the ...

11 ### On a nonlinear fractional differential equation on partially ordered metric spaces

... In this manuscript, by making use of ﬁxed point techniques on ordered metric spaces, the existence and uniqueness of the solution of a nonlinear fractional diﬀerential equation with periodic and ...

10 ### Local-Non Local Fractional Differential Equation In Benach Space

... R differential equations of fractional order have recently proved to be valuable tools in the modeling of many phenomena in various fields of science and ...

9 ### Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

... This paper is organized as follows. in Section 2 we recall some definitions of fractional integral and derivative and related basic properties which will be used in the sequel. In Section 3, we deal with the ...

18 ### ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION

... is the graph of the solution for λ = 1. Let us remark that if β = 1, and λ = 1 then the equation (8) is ordinary diﬀerential equation x ′ (t) = x(t) + t with the condition x(0) = 2. Its solution is x(t) = ...

6 ### Lyapunov type inequality for a fractional differential equation with fractional boundary conditions

... Obviously, if we set α =  in (.), one can obtain the Lyapunov classical inequality (.). In [], the same author studied a diﬀerential equation that depends on the Riemann- Liouville fractional ...

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