• ANALYTICAL SOLUTION OF ABEL’S INTEGRAL EQUATION OF THE FIRST KIND BY USING q-HOMOTOPY ANALYSIS TRANSFORM METHOD

R. K. BAIRWA1, AJAY KUMAR*, GOPALRAM RALIYA

Abstract


In this paper, the analytical solution of Abel's integral equation of the first kind is investigated by using the q-homotopy analysis transform method (q-HATM). The q-HATM is a hybrid method that combines the q-homotopy analysis method (q-HAM) and the Laplace transform method (LTM). The analytical results obtained by the proposed method are in series form, indicating that the approach is simple to implement and computationally appealing.


Keywords


Laplace transform, q-homotopy analysis method and Abel’s integral equations of first kind.

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