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18.260  Articles
1 of 1.826 pages  |  10  records  |  more records»
Nonlinear partial differential equations are mostly renowned for depicting the underlying behavior of nonlinear phenomena relating to the nature of the real world. In this paper, we discuss analytic solutions of fractional-order nonlinear Schrodinger type... see more

The purpose of this paper is to establish some  types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order differ... see more

In the present paper, we use generalized differential transform method (GDTM) to derive solutions of some linear and nonlinear space-time fractional Fokker–Planck equations (FPE) in closed form. The space and time fractional derivatives are considered in ... see more

In this article, we obtain sufficient conditions for existence and uniqueness of Hadamard fractional sequential nonlinear differential equations of orders , and . The obtained results are based on Banach and Schauder's fixed point theorems. Some examples ... see more

By using averaging functions, we present some new oscillation criteria for the solution of a generalized forced nonlinear conformable fractional differential equation. The results obtained here extend and improve on some existing results. Examples are als... see more

In this work, we extended the work of Sheen et al., 2003 for the numerical solution of multi-term fractional order linear differential equations by an integral representation in the complex plane. The resultant integral is approximated to high o... see more

We study the uniquenessof solutionfor nonlinear implicit fractional differential equation with initial condition involving Caputo fractional derivative. The technique used in our analysis is based on an application of Bihari and Medved inequalities.

In this paper, A new method proposed and coined by the authors as the natural variational iteration  transform method(NVITM) is utilized to solve linear and nonlinear systems of fractional differential equations. The new method is a combination of na... see more

In this article, we obtain sufficient conditions for existence and uniqueness of Hadamard fractional sequential nonlinear differential equations of orders , and . The obtained results are based on Banach and Schauder's fixed point theorems. Some examples ... see more

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