q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions
The major goal of this manuscript is to investigate the existence, uniqueness, and stability of a q-fractional Langevin differential equation with q-fractional integral conditions. We demonstrate the existence and uniqueness of the solution to the proposed q-fractional Langevin differential equation...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI
2023
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| Subjects: | |
| Online Access: | View Fulltext in Publisher View in Scopus |
| LEADER | 01431nam a2200253Ia 4500 | ||
|---|---|---|---|
| 001 | 10.3390-math11092132 | ||
| 008 | 230529s2023 CNT 000 0 und d | ||
| 020 | |a 22277390 (ISSN) | ||
| 245 | 1 | 0 | |a q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions |
| 260 | 0 | |b MDPI |c 2023 | |
| 856 | |z View Fulltext in Publisher |u https://doi.org/10.3390/math11092132 | ||
| 856 | |z View in Scopus |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85159157299&doi=10.3390%2fmath11092132&partnerID=40&md5=66bcfbbc4bea4529061d71ea146cef22 | ||
| 520 | 3 | |a The major goal of this manuscript is to investigate the existence, uniqueness, and stability of a q-fractional Langevin differential equation with q-fractional integral conditions. We demonstrate the existence and uniqueness of the solution to the proposed q-fractional Langevin differential equation using the Banach contraction principle and Schaefer’s fixed-point theorem. We also elaborate on different kinds of Ulam stability. The theoretical outcomes are verified by examples. © 2023 by the authors. | |
| 650 | 0 | 4 | |a Caputo derivative |
| 650 | 0 | 4 | |a fractional q-differential equation |
| 650 | 0 | 4 | |a green function |
| 650 | 0 | 4 | |a Langevin equations |
| 650 | 0 | 4 | |a Ulam stability |
| 700 | 1 | 0 | |a Ben Moussa, S. |e author |
| 700 | 1 | 0 | |a Khalid, K.H. |e author |
| 700 | 1 | 0 | |a Wang, W. |e author |
| 700 | 1 | 0 | |a Ye, J. |e author |
| 700 | 1 | 0 | |a Zada, A. |e author |
| 773 | |t Mathematics | ||