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Zbl 1198.26004
Agarwal, Ravi P.; Benchohra, Mouffak; Hamani, Samira
A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions. (English)
[J] Acta Appl. Math. 109, No. 3, 973-1033 (2010). ISSN 0167-8019; ISSN 1572-9036/e

The paper is a survey on works on the existence and uniqueness of solutions of fractional differential equations with the Caputo fractional derivative. A total of 98 related papers are cited in the references which treat various classes of boundary value problems with local, nonlocal and integral conditions and initial value problems for fractional differential equations and inclusions with impulses. Multivalued cases are also considered and with both convex and nonconvex right hand sides situations. All this is compiled in a nice way in the present survey.
[Nasser-eddine Tatar (Dhahran)]

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)
34A37 Differential equations with impulses
34A60 ODE with multivalued right-hand sides
34B15 Nonlinear boundary value problems of ODE

Keywords: boundary value problems; Caputo fractional derivative; fractional integral; existence and uniqueness

Cited in: Zbl 1253.34013

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