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Modified Laplace decomposition method for fractional Volterra-Fredholm integro-differential equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 6، شماره 1، مهر 2018، صفحه 91-104 اصل مقاله (277.86 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2018.2826 | ||
| نویسندگان | ||
| Ahmed A. Hamoud* 1؛ Kirtiwant P. Ghadle2 | ||
| 1Department of Mathematics, Taiz University, Taiz, 96704, Yemen and Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University Aurangabad, 431004, India | ||
| 2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India. | ||
| چکیده | ||
| This paper successfully applies the Adomian decomposition and the modified Laplace Adomian decomposition methods to find the approximate solution of a nonlinear fractional Volterra-Fredholm integro-differential equation. The reliability of the methods and reduction in the size of the computational work give these methods a wider applicability. Also, the behavior of the solution can be formally determined by analytical approximate. Moreover, the paper proves the convergence and uniqueness of the solution. Finally, this study includes an example to demonstrate the validity and applicability of the proposed techniques. | ||
| کلیدواژه‌ها | ||
| Laplace transform؛ Adomian decomposition method؛ fractional Volterra-Fredholm integro-differential equation؛ Caputo fractional derivative | ||
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