Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method

Date

2019

Authors

Ali, Mohamed R.
Hadhoud, Adel R.
Srivastava, H.M.

Journal Title

Journal ISSN

Volume Title

Publisher

Advances in Difference Equations

Abstract

A new approximate technique is introduced to find a solution of FVFIDE with mixed boundary conditions. This paper started from the meaning of Caputo fractional differential operator. The fractional derivatives are replaced by the Caputo operator, and the solution is demonstrated by the hybrid orthonormal Bernstein and block-pulse functions wavelet method (HOBW). We demonstrate the convergence analysis for this technique to emphasize its reliability. The applicability of the HOBW is demonstrated using three examples. The approximate results of this technique are compared with the correct solutions, which shows that this technique has approval with the correct solutions to the problems.

Description

Keywords

Orthonormal Bernstein, Block-pulse functions, Wavelet method, Fractional integro-differential equations, Fractional calculus, Approximate solution

Citation

Ali, M. R., Hadhoud, A. R., & Srivastava, H. M. (2019). Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method. Advances in Difference Equations, 2019(1). https://doi.org/10.1186/s13662-019-2044-1