Fractional integral inequalities and global solutions of fractional differential equations

FRACTIONAL CALCULUS : Integral and Differential Equations of Fractional Order

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Differential Inequalities for Hybrid Fractional Differential Equations

In this paper, some basic fractional differential inequalities for a finite system of an IVP of hybrid fractional differential equations with linear perturbations of second type are proved. An existence and a comparison theorem for the considered hybrid fractional differential have also been established.

Fuzzy Local Fractional Differential Equations

Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and integro-differential equations. Biorthogonality and high vanishing moments of this system are two major properties which lead to the good approximation for the solutions of the given problems. Some test pr...

Random fractional functional differential equations

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.