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

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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… Click to show full 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.

Keywords: conformable laplace; transform; fractional lane; laplace transform; lane emden; conformable fractional

Journal Title: International Journal of Computer Mathematics
Year Published: 2022

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