# fractional differential equation

### Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

**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

**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

6

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

**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

**fractional**

**differential**

**equation**(FDE) is considered. For this issue, first we should construct ...

11

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

**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

**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

**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

**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

25

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

**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

**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

28

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

**fractional**derivative. Numerical example shows that, the numerical scheme is ...

6

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

**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

**fractional**diﬀerential

**equation**with periodic and ...

10

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

**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

**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

**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

**equation**that depends on the Riemann- Liouville

**fractional**...

10