On a singular nonlocal time fractional order mixed problem with a memory term | Zendy

Mesloub Said | Zendy; Algahtani Obaid | Zendy

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On a singular nonlocal time fractional order mixed problem with a memory term

Author(s) -

Mesloub Said,

Algahtani Obaid

Publication year - 2018

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4921

Subject(s) - mathematics , uniqueness , term (time) , a priori and a posteriori , order (exchange) , fractional calculus , type (biology) , mathematical analysis , ecology , philosophy , physics , epistemology , finance , quantum mechanics , economics , biology

We use the priori estimate method to prove the existence and uniqueness of a solution as well as its dependence on the given data of a singular time fractional mixed problem having a memory term. The considered fractional equation is associated with a nonlocal condition of integral type and a Neuman condition. Our results develop and show the efficiency and effectiveness of the energy inequalities method for the time fractional order differential equations with a nonlocal condition.

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