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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohammad Bagher Ghaemi & Fatemeh Mottaghi & Chenkuan Li & Reza Saadati, 2024. "Existence and regularity results for a system of $$\Lambda $$ Λ -Hilfer fractional differential equations by the generalized Lax–Milgram theorem," Indian Journal of Pure and Applied Mathematics, Springer, vol. 55(4), pages 1150-1159, December.
    • Handle: RePEc:spr:indpam:v:55:y:2024:i:4:d:10.1007_s13226-023-00415-0
    DOI: 10.1007/s13226-023-00415-0
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