Oscillation criteria for impulsive partial fractional differential equations
In this paper, we established some sufficient conditions for oscillation of solutions of a class of impulsive partial fractional differential equations with forcing term subject to Robin and Dirichlet boundary conditions by using differential inequality method. As an application, we included an exam...
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| Published in | Computers & mathematics with applications (1987) Vol. 73; no. 8; pp. 1781 - 1788 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
15.04.2017
Elsevier BV |
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| Online Access | Get full text |
| ISSN | 0898-1221 1873-7668 |
| DOI | 10.1016/j.camwa.2017.02.016 |
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| Abstract | In this paper, we established some sufficient conditions for oscillation of solutions of a class of impulsive partial fractional differential equations with forcing term subject to Robin and Dirichlet boundary conditions by using differential inequality method. As an application, we included an example to illustrate the main result. |
|---|---|
| AbstractList | In this paper, we established some sufficient conditions for oscillation of solutions of a class of impulsive partial fractional differential equations with forcing term subject to Robin and Dirichlet boundary conditions by using differential inequality method. As an application, we included an example to illustrate the main result. |
| Author | Raheem, A. Maqbul, Md |
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| Cites_doi | 10.1016/j.jmaa.2006.03.005 10.1016/S0096-3003(02)00611-2 10.1016/j.amc.2003.08.148 10.14232/ejqtde.2014.1.15 10.1016/j.aml.2015.05.016 10.1016/j.amc.2014.03.025 10.1006/jmaa.2001.7840 10.1016/j.aml.2014.11.018 10.1080/00036811.2010.541602 10.22436/jnsa.009.04.17 10.1016/j.amc.2014.12.074 10.1186/s13662-016-0756-z 10.1016/S0096-3003(01)00217-X |
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| Keywords | Impulses Partial fractional differential equations Differential inequality method Oscillation |
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| References | Prakash, Harikrishnan, Benchohra (br000010) 2015; 43 Raheem, Bahuguna (br000020) 2014; 236 Li (br000040) 2016; 2016 Chen (br000035) 2012; 33 Cui, Liu, Deng (br000070) 2003; 146 Li, Han (br000060) 2007; 326 Podlubny (br000090) 1999 Harikrishnan, Prakash, Nieto (br000015) 2015; 254 Chen (br000030) 2013; 75 Li, Sheng (br000005) 2016; 9 Luo (br000075) 2002; 133 Fu, Liu, Sivaloganathan (br000080) 2002; 268 P. Prakash, S. Harikrishnan, J.J. Nieto, J.H. Kim, Oscillation of a time fractional partial differential equation, Electron. J. Qual. Theory Differ. Equ., 2014 (15) 1–10. Fu, Zhang (br000065) 2004; 158 Li (br000045) 2015; 50 Prakash, Harikrishnan (br000055) 2012; 91 Li (br000050) 2015; 2015 Lakshmikantham, Bainov, Simeonov (br000085) 1989 Li (10.1016/j.camwa.2017.02.016_br000045) 2015; 50 Li (10.1016/j.camwa.2017.02.016_br000005) 2016; 9 Harikrishnan (10.1016/j.camwa.2017.02.016_br000015) 2015; 254 Fu (10.1016/j.camwa.2017.02.016_br000065) 2004; 158 Luo (10.1016/j.camwa.2017.02.016_br000075) 2002; 133 Cui (10.1016/j.camwa.2017.02.016_br000070) 2003; 146 Prakash (10.1016/j.camwa.2017.02.016_br000055) 2012; 91 Chen (10.1016/j.camwa.2017.02.016_br000035) 2012; 33 Li (10.1016/j.camwa.2017.02.016_br000050) 2015; 2015 Fu (10.1016/j.camwa.2017.02.016_br000080) 2002; 268 Podlubny (10.1016/j.camwa.2017.02.016_br000090) 1999 Prakash (10.1016/j.camwa.2017.02.016_br000010) 2015; 43 Li (10.1016/j.camwa.2017.02.016_br000040) 2016; 2016 Li (10.1016/j.camwa.2017.02.016_br000060) 2007; 326 Chen (10.1016/j.camwa.2017.02.016_br000030) 2013; 75 Raheem (10.1016/j.camwa.2017.02.016_br000020) 2014; 236 Lakshmikantham (10.1016/j.camwa.2017.02.016_br000085) 1989 10.1016/j.camwa.2017.02.016_br000025 |
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| SubjectTerms | Boundary conditions Differential equations Differential inequality method Dirichlet problem Impulses Mathematical analysis Oscillation Oscillators Partial differential equations Partial fractional differential equations Studies |
| Title | Oscillation criteria for impulsive partial fractional differential equations |
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