Existence and regularity results for a system of Λ-Hilfer fractional differential equations by the generalized Lax–Milgram theorem.

We study the existence of weak solutions for a system and a coupled system of Λ -Hilfer fractional differential equations on compact domains using the Lax–Milgram and Minty–Browder theorems. Furthermore, we provide an illustrative example, and a regularity result to imply that the obtained solution is classical. [ABSTRACT FROM AUTHOR]