Abstract
The aim of this paper is to present the solution of one dimensional conformable fractional heat equation by applying conformable fractional derivative which is considered as more convenient definition of fractional derivative.
Highlights
INTRODUCTIONAs fractional calculus is the generalization of classical theory of derivative, so many authors given various types of definitions of fractional derivative as well as fractional integral
A day's most popular area of research is fractional calculus
As fractional calculus is the generalization of classical theory of derivative, so many authors given various types of definitions of fractional derivative as well as fractional integral
Summary
As fractional calculus is the generalization of classical theory of derivative, so many authors given various types of definitions of fractional derivative as well as fractional integral. R. Khalil [1] introduced conformable fractional derivative and fractional integral as a novel tool to solve different types of partial differential equations. Khalil [1] introduced conformable fractional derivative and fractional integral as a novel tool to solve different types of partial differential equations This definition found to be most natural and classical definition of first derivative is satisfied by taking , along with some applications to fractional differential equations. Roshdi Khalil and et al [10] presented some partial fractional differential equations in the form of conformable fractional derivative and solved same with the help of Fourier series and separation of variables. The history of research of fractional calculus begins with the most useful and familiar definitions
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