On Nonlinear Fractional Relaxation Differential Equations

On Nonlinear Fractional Relaxation Differential Equations

In this paper, by using the Krasnoselskii fixed point theorem and the Banach fixed point theorem, we prove the existence and uniqueness of solutions for a class of nonlocal Cauchy problem for nonlinear Caputo fractional relaxation differential equations. Finally, one illustrative example is given to...

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Veröffentlicht in:Communications in Mathematics and Applications 2023-01, Vol.14 (2), p.675-683
Hauptverfasser: Tate, Shivaji, Kharat, V. V., Gandhi, M. A.
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Cauchy problems
Differential equations
Engineering
Existence theorems
Fixed points (mathematics)
Mathematical analysis
Mathematics
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Beschreibung
Zusammenfassung:In this paper, by using the Krasnoselskii fixed point theorem and the Banach fixed point theorem, we prove the existence and uniqueness of solutions for a class of nonlocal Cauchy problem for nonlinear Caputo fractional relaxation differential equations. Finally, one illustrative example is given to demonstrate our results.
ISSN:0976-5905
0975-8607
DOI:10.26713/cma.v14i2.2212