Existence and uniqueness results for a fractional two‐times evolution problem with constraints of purely integral type | Zendy

Mesloub Said | Zendy

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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.

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