EXISTENCE OF THREE SOLUTIONS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL SYSTEMS THROUGH VARIATIONAL METHODS

This paper is devoted to the study of the multiplicity results of existence of solutions for a class of impulsive fractional differential systems. Indeed, we will use variational methods for smooth functionals, defined on the reflexive Banach spaces in order to achieve the existence of at least thre...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 3; p. 646
Main Authors Heidarkhani, S, Salari, A
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Banach spaces
Differential equations
Mathematical research
Variational methods
Variational principles
Iran
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Summary:This paper is devoted to the study of the multiplicity results of existence of solutions for a class of impulsive fractional differential systems. Indeed, we will use variational methods for smooth functionals, defined on the reflexive Banach spaces in order to achieve the existence of at least three solutions for these systems. In particular, in the scalar case, we will prove that the impulsive fractional differential problem has three non-negative solutions. Finally, by presenting two examples, we will ensure the applicability of our results. Keywords: Three solutions, Fractional differential equation, Impulsive effect, Variational methods, Critical point theory. AMS Subject Classification: 26A33, 34B15, 35A15, 34B15, 34K45, 58E05.
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ISSN:2146-1147
2146-1147