Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. (English) Zbl 1514.34050
Summary: This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provided to illustrate the applications of our theorem.
MSC:
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
Keywords:
Liouville-Caputo integro-differential equation; Banach’s contractive principle; Mittag-Leffler function; Babenko’s approachReferences:
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