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

Makaleler > Tam Makale · 2022

Yazarlar: Suliman Alfaqeih, Emine MISIRLI

International Journal of Computer Mathematics, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2022, cilt 99, ss 2123-2138

DOI: 10.1080/00207160.2022.2037575

Özet

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.

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