On the Approximate Solutions of Local Fractional Differential Equations with Local Fractional Operators

On the Approximate Solutions of Local Fractional Differential Equations with Local Fractional Operators

Hossein Jafari 1,2,*, Hassan Kamil Jassim 2,3, Fairouz Tchier 4 and Dumitru Baleanu 5,6 1 Department of Mathematical Sciences, University of South Africa (UNISA), Pretoria 0003, South Africa 2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47416, Iran; [email protected] 3 Department of Mathematics, Faculty of Education for Pure Sciences, U...

The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators

In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools ...

Fuzzy Local Fractional Differential Equations

The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform

In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution ...

the approximate solutions of fredholm integral equations on cantor sets within local fractional operators

in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...