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Zbl 1196.34007
Balachandran, Krishnan; Trujillo, Juan J.
The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4587-4593 (2010). ISSN 0362-546X

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 2000:
*34A08
34G20 Nonlinear ODE in abstract spaces

Keywords: existence of a solution; nonlinear fractional equation; nonlocal models; nonlocal condition; fractional calculus

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