A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative | Zendy

Ravi P. Agarwal | Zendy; Mohammed Belmekki | Zendy; Mouffak Benchohra | Zendy

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A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

Author(s) -

Ravi P. Agarwal,

Mohammed Belmekki,

Mouffak Benchohra

Publication year - 2009

Publication title -

advances in difference equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.67

H-Index - 51

eISSN - 1687-1847

pISSN - 1687-1839

DOI - 10.1155/2009/981728

Subject(s) - mathematics , ordinary differential equation , derivative (finance) , partial differential equation , differential inclusion , fractional calculus , mathematical analysis , functional analysis , pure mathematics , differential equation , chemistry , financial economics , economics , biochemistry , gene

We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative. Our approach is based on the 𝒞0-semigroups theory combined with some suitable fixed point theorems

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