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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.