Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations
We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach's contraction mapping principle. Further, we define and study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of solutions. We also discuss an illustrative example.
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| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Springer
2022
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/41860/ |
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| Summary: | We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach's contraction mapping principle. Further, we define and study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of solutions. We also discuss an illustrative example. |
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