On Local Weak Solutions for Fractional in Time SOBOLEV-Type Inequalities
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider two fractional in time nonlinear Sobolev-type inequalities involving potential terms, where the fractional derivatives are defined in the sense of Caputo.
For both problems, we study the existence and nonexistence of nontrivial local weak solutions.
Namely, we show that there exists a critical exponent according to which we have existence or nonexistence.
American Psychological Association (APA)
Jleli, Mohaemd& Samet, Bessem. 2020. On Local Weak Solutions for Fractional in Time SOBOLEV-Type Inequalities. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1185445
Modern Language Association (MLA)
Jleli, Mohaemd& Samet, Bessem. On Local Weak Solutions for Fractional in Time SOBOLEV-Type Inequalities. Journal of Function Spaces No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1185445
American Medical Association (AMA)
Jleli, Mohaemd& Samet, Bessem. On Local Weak Solutions for Fractional in Time SOBOLEV-Type Inequalities. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1185445
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185445
