Fractional differential forms

Limiting Fractional and Lorentz Space Estimates of Differential Forms

We obtain estimates in Besov, Triebel–Lizorkin and Lorentz spaces of differential forms on Rn in terms of their L1 norm.

Limiting Fractional and Lorentz Spaces Estimates of Differential Forms

We obtain estimates in Besov, Lizorkin-Triebel and Lorentz spaces of differential forms on Rn in terms of their L norm.

Fuzzy Local Fractional Differential Equations

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.

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...