Neumann method for solving conformable fractional Volterra integral equations

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Ilie Mousa; Biazar Jafar; Ayati Zainab

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Journal: Computational Methods for Differential Equations Year:2020 | Volume:8 | Issue:1 Page(s): 54-68

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Title

Neumann method for solving conformable fractional Volterra integral equations

Author(s)

Ilie Mousa | Biazar Jafar | Ayati Zainab | Issue Writer Certificate

Keywords

Volterra integral equations

Conformable fractional derivative

Neumann method

Existence and uniqueness and sufficient condition of convergence

Abstract

This paper deals with the solution of a class of Volterra integral equations in the sense of the Conformable fractional derivative. For this goal, the well-organized Neumann method is developed and some theorems related to existence, uniqueness, and sufficient condition of convergence are presented. Some illustrative examples are provided to demonstrate the efficiency of the method in solving conformable fractional Volterra integral equations.

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APA: Copy

Ilie, Mousa, Biazar, Jafar, & Ayati, Zainab. (2020). Neumann method for solving conformable fractional Volterra integral equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 8(1), 54-68. SID. https://sid.ir/paper/345760/en

Vancouver: Copy

Ilie Mousa, Biazar Jafar, Ayati Zainab. Neumann method for solving conformable fractional Volterra integral equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2020;8(1):54-68. Available from: https://sid.ir/paper/345760/en

IEEE: Copy

Mousa Ilie, Jafar Biazar, and Zainab Ayati, “Neumann method for solving conformable fractional Volterra integral equations,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 8, no. 1, pp. 54–68, 2020, [Online]. Available: https://sid.ir/paper/345760/en

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