Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method

A matrix method called the Bernoulli wavelet method is presented for numerically solving the fuzzy fractional integrodifferential equations. Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown coefficients. To illustrate the method, it is applied to certain fuzzy fractional integrodifferential equations, and the results are compared.

EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS

ABSTRACT :Â In the present paper we prove the existence and uniqueness of local solutions of a nonlocal Cauchy problem for a class of fractional integrodifferential equation. The results are obtained by using the theory of resolvent operators, the fractional powers of operators, fixed point techniques and the Gelfand-Shilov principle.

On a Time-Fractional Integrodifferential Equation via Three-Point Boundary Value Conditions

The existence and the uniqueness theorems play a crucial role prior to finding the numerical solutions of the fractional differential equations describing the models corresponding to the real world applications. In this paper, we study the existence of solutions for a time-fractional integrodifferential equation via three-point boundary value conditions.

Existence Results for an Impulsive Neutral Fractional Integrodifferential Equation with Infinite Delay

We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach spaceX. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.