Degenerate fractional differential equations in locally convex spaces with a $\sigma$-regular pair of operators

Degenerate Multi-term Fractional Differential Equations in Locally Convex Spaces

We investigate, in the setting of sequentially complete locally convex spaces, degenerate multi-term fractional differential equations with Caputo derivatives. The obtained theoretical results are illustrated with some examples.

FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES

In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via  weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.

On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces

and Applied Analysis 3 where 1 < α < 2, 0 < β < α and A a is a certain complex constant. Applying the Laplace transform see, e.g., 10, 1.23 , we get: ( λ λ ) ũ λ − ( λα−1 λβ−1 ) u0 aũ λ . 1.8

Impulsive Fractional Differential Equations in Banach Spaces

This paper is devoted to study the existence of solutions for a class of initial value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. The arguments are based upon Mönch’s fixed point theorem and the technique of measures of noncompactness.

Fractional differential equations with Legendre polynomials