The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. (English) Zbl 1196.34007
Summary: We prove the existence of solutions of certain classes of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example is presented.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34G20 | Nonlinear differential equations in abstract spaces |
Keywords:
existence of a solution; nonlinear fractional equation; nonlocal models; nonlocal condition; fractional calculusReferences:
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