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Benchohra, Mouffak; Lazreg, Jamal E.

Nonlinear fractional implicit differential equations. (English) Zbl 1300.34014

Commun. Appl. Anal. 17, No. 3-4, 471-482 (2013).

Cited in 29 Documents

MSC:

34A08 Fractional ordinary differential equations
34A09 Implicit ordinary differential equations, differential-algebraic equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
34G20 Nonlinear differential equations in abstract spaces

Keywords:

initial value problem; Caputo’s fractional derivative; implicit fractional differential equations; fractional integral; existence; measure of noncompactness; fixed point; Banach space
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