On Periodic Solutions for Some Nonlinear Fractional Pantograph Problems with -Hilfer Derivative

On Periodic Solutions for Some Nonlinear Fractional Pantograph Problems with -Hilfer Derivative

The main goal of this paper is to study the existence and uniqueness of periodic solutions for some class of nonlinear fractional pantograph systems with -Hilfer derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, an illustrativ...

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Veröffentlicht in:Lobachevskii journal of mathematics 2023, Vol.44 (4), p.1264-1279
Hauptverfasser: Benzenati, Djilali, Bouriah, Soufyane, Salim, Abdelkrim, Benchohra, Mouffak
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Pantographs
Probability Theory and Stochastic Processes
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Zusammenfassung:The main goal of this paper is to study the existence and uniqueness of periodic solutions for some class of nonlinear fractional pantograph systems with -Hilfer derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, an illustrative example will be demonstrated.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223040054