Djeloul Ziane, Rachid Belgacem, Ahmed Bokhari
Faculty of Exact and Computer Sciences, Hassiba Benbouali University Chlef, Algeria.
In this work we focus on presenting a method for solving local fractional differential equations. This method is based on the combination of the Aboodh transform with the local fractional derivative (we can call it local fractional Aboodh transform), where we have provided some important results and properties. We concluded this work by providing illustrative examples, through which we focused on solving some linear local fractional differential equations in order to obtain nondifferential analytical solutions.
Keywords: local fractional calculus, local fractional Laplace transform, Aboodh transform method, local fractional differential equations.
Ziane, D., Belgacem, R., & Bokhari, A. (2022). Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations. Advances in the Theory of Nonlinear Analysis and its Application, 6(2), 217-228.