Implicit Fractional Differential Equations via the Liouville-Caputo Derivative

By J. J. Nieto, Abdelghani Ouahab, V. Venktesh. 2015

61 citations recorded by the source corpus.

We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative. By using fixed point theory and an approximation method, we obtain some existence and uniqueness results.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7459fa32d617eb44f436fce4d877334787dd8cf5

Citations in the corpus

• Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem (2019, unknown): “By using (15) and (A2), (14) becomes | (u)(t)| ≤ M0( 3Tp 2Γ(p + 1) + Γ(2 − r)Tp 2Γ(p − r + 1) ) ,”