fractional integro-differential equation
Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets
... the fractional calculus ...the fractional differential of cubic B-spline scaling functions and wavelets for solving fractional integro- differential ...
6
Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
... sequence converging to a solution of the considered problem defined by (10) and (11). In this approach, we do not need to prove the existence of solution for BVP of nonlinear Caputo fractional integro ...
14
A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation
... A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation.. Sirunya Thanompolkrang 1 and Duangkamol Poltem 1,2, *.[r] ...
7
On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation
... fraction differential equations ...on fractional calculus, such as ...of fractional calculus applications are being used and in the field of science, engineering and economics ...non-linear ...
7
CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
... nonlinear integro-differential equation of frac- tional order α ∈ (0, 1) with nonlocal conditions in Banach ...The fractional differential operator is taken in the Caputo ...
10
Approximate solutions of a sum type fractional integro differential equation by using Chebyshev and Legendre polynomials
... We investigate the existence of solutions for a sum-type fractional integro-differential problem via the Caputo differentiation. By using the shifted Legendre and Chebyshev polynomials, we provide a numerical ...
18
Uniqueness and existence of positive solutions for the fractional integro-differential equation
... In this paper, we study the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value problem. By means of the Banach contraction ...
17
Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... nonlinear fractional integrodifferential equation by Colloca- tion method with the help of shifted Chebyshev ...nonlinear fractional integrod- ifferential equation by Collocation method with ...
7
μ pseudo almost automorph mild solutions to the fractional integro differential equation with uniform continuity
... (fractional) integro-differential equations have attracted much ...(fractional) integro-differential equations (see [12–19] and the refer- ences ...
13
Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... Volterra-Fredholm fractional integro-differential equations with mixed boundary ...convert fractional integro-differential equation to a type of second kind Fredholm ...
7
A modified series solution method for fractional integro differential equations
... nonlinear fractional integro-differential ...a fractional power in the power series can be ...say equation (5.1) contains fractional powers of x then our consideration of the ...
8
Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators
... impulsive differential equation with fractional ...such differential equations, we refer to the monographs [12], [18], and papers [5], [6], [14], [17], [19], [21]-[22], and references given ...
12
Vol 8, No 8 (2017)
... Volterra integro-differential equations with weakly singular ...Volterra fractional integral equation of the second ...Volterra fractional integro-differential equations ...
7
Existence and Uniqueness of Solution for a Fractional Order Integro Differential Equation with Non Local and Global Boundary Conditions
... of Fractional Differential Transform Method to the Fractional Order Integro-Differential Equations with Nonlocal Boundary Conditions,” Journal of Computational and Applied Mathematics, ...
5
EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... Abstract: In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential ...
16
NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
... fourth-order differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a negative ...
15
On Some Fractional-Integro Partial Differential Equations
... Abstract-- In this paper, an inverse optimal control problem is introduced with state function governed by fractional partial differential equation. The existence of the control and necessary ...
8
On boundary value problems of higher order abstract fractional integro-differential equations
... Many authors have investigated the special forms of equation (1.1) with different boundary con- ditions by using various techniques, see for examples [1, 2, 4, 5, 6, 7, 10, 12, 13, 18, 20]. Here, we establish ...
20
On a three step crisis integro differential equation
... Caputo fractional derivative and f is a Caratheodory function on [0, 1] × (0, ∞) 3 ...the fractional differential equations called three step crisis integro-differential equations ...crisis ...
19
Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... Generalized differential transform method (GDTM) is applied to solve linear integro-differential volterra –fredholm equation of fractional order ...The fractional derivative is ...
12