A novel conformable Laplace transform for conformable fractional Lane-Emden type equations


Alfaqeih S., MISIRLI E.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1080/00207160.2022.2037575
  • Title of Journal : INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Keywords: Conformable fractional derivative, astrophysics, Lane-Emden type equation, conformable Laplace transforms, 35Qxx, DIFFERENTIAL-EQUATIONS, APPROXIMATE SOLUTION

Abstract

In the current work, we introduce a relatively new integral operator, a modification of conformable Laplace transform that can handle some conformable fractional differential equations with singularities of a given kind. Some essential properties and theorems are discussed to show the efficiency and applicability of the new transform. We use this transform in conjunction with the Adomian decomposition method to solve various classes of conformable fractional Lane-Emden type equations.