On a Nonlocal Nonlinear Coupled Double-Strip Fractional Boundary Value Problem
DOI:
https://doi.org/10.65904/3083-1733.2026.2.12Keywords:
Caputo fractional derivative , Coupled system , Double-strip boundary conditions , Existence , Fixed pointAbstract
A nonlocal double-strip coupled boundary value problem for a system of two nonlinear Caputo fractional differential equations of arbitrary order is studied in this article. According to the nonlocal double-strip coupled boundary conditions, the value of the first unknown function in the system of equations at the right-end point of the interval [0, 1] is proportional to the memory behavior of the second unknown function arising from the initial and final segments (strips) occupying the positions (0, η) and (ξ, 1) in the given domain and vice-versa. Transforming the given problem into an equivalent system of integral equations gives rise to a fixed-point problem, which is solved by applying the tools of fixed-point theory. Existence and uniqueness results for the given problem are presented, which are well-illustrated with examples.
AMS Subject Classification (2020): 34A08, 34B10, 34B15.
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