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5.334  Articles
1 of 534 pages  |  10  records  |  more records»
This study presents the numerical approximation method for the nonsingular fractional derivative known as the Caputo-Fabrizio fractional derivative on uniform and nonuniform mesh. It has been found that the accuracy of the utilized fractional derivative c... see more

In this paper, a three-dimensional cancer model was considered using the Caputo-Fabrizio-Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense. Special solutions using an iterative scheme via Laplace transform, Sumu... see more

This communication addresses a comparison of newly presented non-integer order derivatives with and without singular kernel, namely Michele Caputo–Mauro Fabrizio (CF) C F ( ? ß / ? t ß ) and Atangana–Baleanu (AB) A B ... see more

In this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex a... see more

In the present paper, the notion of generalized relative semi-(r; m, h)-preinvex mappings is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized relative semi-(r; m, h)-preinve... see more

In this paper, we study some fractional variational problems with functionals that involve some unknown functions and their Caputo derivatives. We also consider Caputo iso-perimetric problems. Generalized fractional Euler-Lagrange equations for the proble... see more

In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with th... see more

This paper deals with a numerical simulation of fractional conformable attractors of type Rabinovich–Fabrikant, Thomas’ cyclically symmetric attractor and Newton–Leipnik. Fractional conformable and β -conformable derivatives of ... 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

1 of 534 pages  |  10  records  |  more records»