The Generalized Taylor Expansion Method for Solving Some Types of Fractional Non-local Problems | Zendy

Ahlam J. Khaleel | Zendy; Hala Fouad Essa | Zendy

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The Generalized Taylor Expansion Method for Solving Some Types of Fractional Non-local Problems

Author(s) -

Ahlam J. Khaleel,

Hala Fouad Essa

Publication year - 2017

Publication title -

journal of al-nahrain university-science

Language(s) - English

Resource type - Journals

eISSN - 2519-0881

pISSN - 1814-5922

DOI - 10.22401/jnus.17.4.26

Subject(s) - mathematics , uniqueness , taylor series , mathematical analysis , initial value problem , fractional calculus

The aim of this paper is to prove the existence and the uniqueness of the solution for some types of fractional non-local problems, namely the non-linear non-local initial value problems for fractional Fredholm-Volterra integro-differential equations. Also, the generalized Taylor expansion method is used to solve the non-local initial value problem that consists of the linear fractional Fredholm-Volterraintegro-differential equation together with the linear non-local initial condition with some illustrative examples.

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