The Conformable Derivative Is Used to Solve a Fractional Differential Equation Analytically

Salim Saeed Mahmood; Sarwar Ahmad Hamad; Kamaran Jamal Hamad; Aso Kurdo Ahmed

doi:10.25212/lfu.qzj.7.1.44

Authors

Salim Saeed Mahmood Department of Mathematic, Faculty of Science, Soran University, Kurdistan Regional Government, Iraq
Sarwar Ahmad Hamad Department of Mathematic, Faculty of Science, Zakho University, Kurdistan Regional Government, Iraq.
Kamaran Jamal Hamad Department of Mathematic, Faculty of Science, Soran University, Kurdistan Regional Government, Iraq.
Aso Kurdo Ahmed Department of Business Administration, College of Administration and Economics, Lebanese French University, Kurdistan Region, Iraq

DOI:

https://doi.org/10.25212/lfu.qzj.7.1.44

Keywords:

Fractional derivative, fractional integral, Conformable derivative Euler's equation

Abstract

In this paper, we talk about Fractional differential equations are generalizations of ordinary differential equations to an arbitrary (non-integer) order. Fractional differential equations have attracted considerable interest because of their ability to model complex phenomena. These equations capture nonlocal relations in space and time with power-law memory kernels. Due to the extensive applications of FDEs in engineering and science, research in this area has grown significantly all around the world.

Almost the arrangement representation of fragmentary differential equation with distinctive conditions and deals with some methods for analytically solving the linear and non-linear of fractional differential equation based upon a conformable derivative by several methods and illustrate many example.

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