2023 25th International Conference on Digital Signal Processing and its Applications, DSPA 2023. 2023.
NONEXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING WEIGHTED FRACTIONAL DERIVATIVES
In this paper, we study the nonexistence of global solutions for certain classes of nonlinear fractional differential inequalities involving weighted fractional derivatives and a singular potential function. Namely, using the test function method with a judicious choice of the test function, we obtain sufficient criteria depending on the parameters of the considered problems, under which we have absence of global solutions. Next, some special cases of the potential function are discussed. © 2023 American Institute of Mathematical Sciences. All rights reserved.
Authors
De Gaetano A. , Jleli M. , Ragusa M.A. , Samet B.
Publisher
American Institute of Mathematical Sciences
Issue number
6
Language
English
Pages
1300-1322
State
Published
Link
Volume
16
Year
2023
Organizations
- 1 National Research Council of Italy (CNR), CNR-IRIB, CNR-IASI, Palermo, Rome, Italy
- 2 Department of Mathematics, College of Science King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
- 3 Department of Mathematics and Computer Science Catania University, Catania, 95125, Italy
- 4 RUDN University, 6 Miklukho, Maklay St, Moscow, 117198, Russian Federation
- 5 Dept. of Biomatics, Óbuda University, Budapest, Hungary
Keywords
Fractional differential inequalities; global solution; nonexistence; weighted fractional derivative
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