TJMAS
New Integral transform "AF transform" and system of Integro-differential equations
Seyed Ahmad Pourreza Ahmadi,Seyed Fardiss Pourreza Ahmadi
Keywords: AF transform, System of Volterra integral and integro-differential equation, constant cofficients, the homotopy perturbation method (HPM).
Abstract: In this research paper, a new integral transform, namely AF transform was introduced and applied to solve linear system of Integro-differential equation with constant cofficients. The brilliance of the method in obtaining analytical solution of some system of Volterra integral and Integro differential equation. we will solve some examples by the homotopy perturbation method (HPM) and compare to new integral transform method.
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