in this paper, boundary value problems of fractional order are converted into an optimal control problems. then an approximate solution is constructed from translations and dilations of a b-spline function such that the exact boundary conditions are satisfied. the fractional differential operators are taken in the riemann-liouville and caputo sense. several example are given and the optimal err...

In this paper, the classification of single traveling wave solutions to a special kind space-time fractional Schrödinger type equation with high-order nonlinearities is obtained by complete discrimination system for polynomial method, where derivative defined Atangana’s conformable definition. The descriptions method and are given, concrete procedure also presented in paper. Especially, some ne...

In this paper, we establish the existence and uniqueness result of the linear Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra. The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau sense.

in this paper, we establish the existence and uniqueness result of the linear schrodinger equation with marchaud fractional derivative in colombeau generalized algebra. the purpose of introducing marchaud fractional derivative is regularizing it in colombeau sense.

The purpose of this paper is to study the fuzzy fractional differentialequations. We prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. Fuzzy derivative is considerin the Goetschel-Voxman sense and fractional derivative is consider in theRiemann Liouville sense. At the end, we...

By considering the Moore–Gibson–Thompson (MGT) equation, current work introduces a modified fractional photothermal model. The construction model is based on proportional Caputo derivative, which new definition of derivative that simple and works well. In addition, theory heat transfer in semiconductor materials was used context optical excitation plasma processes. proposed to investigate inter...