Nonexistence of Global Solutions for Fractional Differential Problems with Power Type Source Term

Mohammed D. Kassim; Nasser Eddine Tatar

doi:10.1007/s00009-021-01903-5

Nonexistence of Global Solutions for Fractional Differential Problems with Power Type Source Term

Mohammed D. Kassim^*, Nasser Eddine Tatar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we study the nonexistence of nontrivial global solutions for a nonlinear fractional differential. The equation involves two Hadamard fractional derivatives of different orders and a nonlinear source term. Our results are obtained using the test-function method, several properties of fractional derivatives and some integral inequalities. An example is provided to illustrate our findings.

Original language	English
Article number	238
Journal	Mediterranean Journal of Mathematics
Volume	18
Issue number	6
DOIs	https://doi.org/10.1007/s00009-021-01903-5
State	Published - Dec 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Hadamard fractional derivative
Nonexistence of solutions
fractional differential equation

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-021-01903-5

Cite this

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title = "Nonexistence of Global Solutions for Fractional Differential Problems with Power Type Source Term",

abstract = "In this paper, we study the nonexistence of nontrivial global solutions for a nonlinear fractional differential. The equation involves two Hadamard fractional derivatives of different orders and a nonlinear source term. Our results are obtained using the test-function method, several properties of fractional derivatives and some integral inequalities. An example is provided to illustrate our findings.",

keywords = "Hadamard fractional derivative, Nonexistence of solutions, fractional differential equation",

author = "Kassim, \{Mohammed D.\} and Tatar, \{Nasser Eddine\}",

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AU - Kassim, Mohammed D.

AU - Tatar, Nasser Eddine

PY - 2021/12

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N2 - In this paper, we study the nonexistence of nontrivial global solutions for a nonlinear fractional differential. The equation involves two Hadamard fractional derivatives of different orders and a nonlinear source term. Our results are obtained using the test-function method, several properties of fractional derivatives and some integral inequalities. An example is provided to illustrate our findings.

AB - In this paper, we study the nonexistence of nontrivial global solutions for a nonlinear fractional differential. The equation involves two Hadamard fractional derivatives of different orders and a nonlinear source term. Our results are obtained using the test-function method, several properties of fractional derivatives and some integral inequalities. An example is provided to illustrate our findings.

KW - Hadamard fractional derivative

KW - Nonexistence of solutions

KW - fractional differential equation

UR - https://www.scopus.com/pages/publications/85117619773

U2 - 10.1007/s00009-021-01903-5

DO - 10.1007/s00009-021-01903-5

M3 - Article

AN - SCOPUS:85117619773

SN - 1660-5446

VL - 18

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 6

M1 - 238

ER -

Nonexistence of Global Solutions for Fractional Differential Problems with Power Type Source Term

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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