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Existence and uniqueness results for a fractional two‐times evolution problem with constraints of purely integral type
Author(s) -
Mesloub Said
Publication year - 2016
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.3589
Subject(s) - mathematics , uniqueness , type (biology) , a priori and a posteriori , integral equation , mathematical analysis , boundary value problem , fractional calculus , differential equation , ecology , philosophy , epistemology , biology
This paper deals with a fractional two‐times evolution equation associated with initial and purely boundary integral conditions. The existence and uniqueness of generalized solution are proved. The classical functional method based on a priori estimates and density used by many authors in the case of nonfractional differential equations is applied for the time fractional case. Copyright © 2015 John Wiley & Sons, Ltd.