Nonlinear fractional differential equations of Sobolev type

Ahmed Alsaedi, Mohammed S. Alhothuali, Bashir Ahmad, Sebti Kerbal, Mokhtar Kirane

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found.

Original languageEnglish
Pages (from-to)2009-2016
Number of pages8
JournalMathematical Methods in the Applied Sciences
Volume37
Issue number13
DOIs
Publication statusPublished - 2014

Fingerprint

Fractional Differential Equation
Fractional Derivative
Test function
Nonlinear equations
Nonlinear Differential Equations
Nonexistence
Nonlinear Equations
Differential equations
Limiting
Exponent
Derivatives

Keywords

  • nonexistence
  • Nonlinear equations of Sobolev type
  • nonlocal space operators
  • nonlocal time operators

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Nonlinear fractional differential equations of Sobolev type. / Alsaedi, Ahmed; Alhothuali, Mohammed S.; Ahmad, Bashir; Kerbal, Sebti; Kirane, Mokhtar.

In: Mathematical Methods in the Applied Sciences, Vol. 37, No. 13, 2014, p. 2009-2016.

Research output: Contribution to journalArticle

Alsaedi, Ahmed ; Alhothuali, Mohammed S. ; Ahmad, Bashir ; Kerbal, Sebti ; Kirane, Mokhtar. / Nonlinear fractional differential equations of Sobolev type. In: Mathematical Methods in the Applied Sciences. 2014 ; Vol. 37, No. 13. pp. 2009-2016.
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