Nonexistence of global solutions for a fractional differential problem

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:314

Article

Kassim, M. D.¹  Furati, K. M.¹  Tatar, N. -E.¹ 

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

关键词: Nonexistence;    Global solution;    Caputo fractional derivative;    Riemann-Liouville fractional integral;    Test function method;   

DOI  :  10.1016/j.cam.2016.10.006

来源: Elsevier

【 摘 要 】

In this paper, we study the non-existence of non-trivial global solutions for a fractional differential inequality containing a lower order fractional derivative and a polynomial source term on the right hand side. Non-existence of non-trivial global solutions result is proved in an appropriate space by means of the test-function method. The range of values of the exponent involved there (ensuring non-existence) is found to depend only on the lower order derivative. This is in agreement with the integer order case. Numerical examples are given to illustrate the results. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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