Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions
Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions
Abstract Our aim in this article is to solve the composite fractional relaxation differential equation by using different definitions of the non-integer order derivative operator $D_{t}^{\alpha }$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mi>t</mml:mi> <mml:mi>α</mml:mi> </mml:msubsup> </mml:math> , more specifically we employ the definitions of Caputo, Caputo–Fabrizio and Atangana–Baleanu of non-integer order …