Existence and uniqueness results for a fractional two‐times evolution problem with constraints of purely integral type. (10th August 2015)

• Record Type: Journal Article
• Authors: Mesloub, Said
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 6(2016:Apr. 15)
• Page Start: 1558
• Page End: 1567
• Publication Date: 2015-08-10
• Subjects: existence and uniqueness -- nonlocal problem -- fractional equation -- integral conditions -- two‐times evolution equation; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3589
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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.