Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem
Author(s) -
Ayub Samadi,
Sotiris K. Ntouyas,
Jessada Tariboon
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6690049
Subject(s) - mathematics , generalization , fractional calculus , boundary value problem , value (mathematics) , boundary values , work (physics) , mathematical analysis , pure mathematics , statistics , thermodynamics , physics
In this work, a new existence result is established for a nonlocal hybrid boundary value problem which contains one left Caputo and one right Riemann–Liouville fractional derivatives and integrals. The main result is proved by applying a new generalization of Darbo’s theorem associated with measures of noncompactness. Finally, an example to justify the theoretical result is also presented.
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