RECENT ADVANCES ON RELIABLE METHODS FOR SOLVING VOLTERRA-FREDHOLM INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
AHMED A. HAMOUD *
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India and Department of Mathematics, Taiz University, Taiz, 96704, Yemen.
KIRTIWANT P. GHADLE
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India.
*Author to whom correspondence should be addressed.
Abstract
This paper mainly focuses on the recent advances in the approximated methods for solving linear and nonlinear integral and integro-di erential equations of the second and the rst kind (including equations with di erent kernels). Some discussions are presented on the relation of integral equations to applications, and areas are delineated in the future research directions as well.
Keywords: Adomian Decomposition Method, Variational Iteration Method, Homotopy Analysis Method, Volterra and Fredholm Integral Equations, Integro-Dierential Equation, Approximate Solutions