@article { author = {Hamoud, Ahmed and Ghadle, Kirtiwant and Atshan, Shakir}, title = {The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method}, journal = {Khayyam Journal of Mathematics}, volume = {5}, number = {1}, pages = {21-39}, year = {2019}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2018.73593}, abstract = {The main object of the present paper is to study the behavior of the approximated solutions of the Caputo fractional Volterra-Fredholm integro-differential equations by using modified Adomian decomposition method. Moreover, we discuss some new existence, uniqueness, and convergence results. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.}, keywords = {Modified Adomian decomposition method,Caputo fractional derivative,fractional Volterra--Fredholm integro-differential equation,approximate solution}, url = {https://www.kjm-math.org/article_73593.html}, eprint = {https://www.kjm-math.org/article_73593_6dc1e8da8bef248712e90632993e6c0c.pdf} }