VIVEK, D (2021) EXISTENCE AND UNIQUENESS RESULTS FOR SEQUENTIAL ψ-HILFER FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS. Acta Math. Univ. Comenianae, XC (2). pp. 171-185.
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Abstract
In this paper, we study multi-point boundary value problems for sequential fractional differential equations involving ψ-Hilfer fractional derivative.
Existence and uniqueness results are obtained by using the classical fixed point theorems of Banach, Krasnoselskii, and the nonlinear alternative of Leray-Schauder.
Examples illustrating our results are also presented
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Fractional differential equations; ψ-Hilfer fractional derivative; Riemann-Liouville fractional derivative; Caputo fractional derivative; boundary value problems; existence and uniqueness; fixed point theory. |
| Divisions: | PSG College of Arts and Science > Department of Mathematics |
| Depositing User: | Mr Team Mosys |
| Date Deposited: | 12 May 2023 08:26 |
| Last Modified: | 12 May 2023 08:26 |
| URI: | http://ir.psgcas.ac.in/id/eprint/1909 |
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