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

Mohammad Bagher Ghaemi (), Fatemeh Mottaghi (), Chenkuan Li () and Reza Saadati ()
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Mohammad Bagher Ghaemi: Iran University of Science and Technology
Fatemeh Mottaghi: Iran University of Science and Technology
Chenkuan Li: Brandon University
Reza Saadati: Iran University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 4, 1150-1159

Abstract: Abstract We study the existence of weak solutions for a system and a coupled system of $$\Lambda $$ 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.

Keywords: $$\Lambda $$ Λ -Hilfer fractional differential equation; Lax–Milgram theorem; Minty–Browder theorem; Weak solution; Regularity; 34A08; 26A33; 34B08 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00415-0

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