In this paper, we obtain the regularized trace formulae for a diffusion operator, which includes conformable fractional derivatives of order ? (0 < 1) instead ordinary in traditional operator by contour integration method. The results paper are great importance solving inverse problems and can be considered as partial generalizations.

In the sense of a conformable fractional operator, we consider generalized fractional–stochastic nonlinear wave equation (GFSNWE). This may be used to depict several physical phenomena occurring in liquid containing gas bubbles. The analytical solutions GFSNWE are obtained by using F-expansion and Jacobi elliptic function methods with Riccati equation. Due presence noise derivative, some that w...

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...

In this paper, we study the traveling wave solutions of fractional generalized reaction Duffing equation, which contains several nonlinear conformable time equations. By dynamic system method, phase portraits equation are given, and all possible exact obtained.

The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other definitions, this presents a generalization of follows same derivation formulae. For electrical circuits, such as RLC, RC, LC, we obtain new class fractional-order differential equations using novel derivative, use GCD to depict circuits has shown be...

This article compares conformable fractional Derivative with Riemann-Liouville and Caputo derivative by comparing solutions to ordinary differential equations involving the three derivatives via numerical simulations of solutions. The result shows that can be used as an alternative for order α 1/2<α<1.

In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving heat equation, wave telegraph equation by modifying the double Sumudu transform of type. We discuss modified conformable together with conditions for its existence. addition, prove some more properties fractional-type transform, including convolution other properties, which are well kn...