Open AccessAn efficient hybrid technique for the solution of fractional-order partial differential equations
Author(s) -
Hassan Kamil Jassim,
Hijaz Ahmad,
A. Shamaoon,
Clemente Cesarano
Publication year - 2021
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.13.3.790-804
Subject(s) - mathematics , homotopy analysis method , partial differential equation , order (exchange) , homotopy , homotopy perturbation method , partial derivative , mathematical optimization , mathematical analysis , pure mathematics , finance , economics
In this paper, a hybrid technique called the homotopy analysis Sumudu transform method has been implemented solve fractional-order partial differential equations. This technique is the amalgamation of Sumudu transform method and the homotopy analysis method. Three examples are considered to validate and demonstrate the efficacy and accuracy of the present technique. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the exact solution which shows that the proposed method is efficient, reliable and easy to implement for various related problems of science and engineering.