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 ...

Fractional diffusion equations with conformable derivative have become an important research topic in Newtonian mechanics, quantum arbitrary time scale problems, transport, neutron dynamics and other fields. In this paper, we propose to study fractional by using physics-informed neural networks (PINNs) for the first time. By solving supervised learning task, design a new spatio-temporal functio...

In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works. 1. Introduction In the last few decades, much signi…cant development of integral inequalities had been established. Integral inequalities have been frequently employed in the theory of applied sciences, di...

abstract. in this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized haar functions. for this purpose, the properties of hybrid of rationalized haar functions are presented. in addition, the operational matrix of the fractional integration is obtained and is utilized to convert compu...

In this work, we proposed a hybrid algorithm to approximate the solution of Conformable Fractional Fokker-Planck Equation (CFFPE). This comprises unification two methods named Wave Transformation Method (FWTM) and Differential Transform (DTM). The method is based on steps. first step reduce given CFPDEs corresponding Partial Equations (PDEs). Then, second solve obtained PDEs iteratively by usin...