A Study of a Non-local Initial Value Problem Fractionally Perturbed
In this work, we study a class of fractionally nonlinearly perturbed first order differential equations, subject to a nonlocal initial condition on an unbounded interval, which is the novelty here. By means of the principle of contraction mapping to establish the existence result and by a Gronwall-li...
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| Published in | Sarajevo journal of mathematics Vol. 18; no. 2; pp. 285 - 296 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
16.01.2024
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| Online Access | Get full text |
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| Summary: | In this work, we study a class of fractionally nonlinearly perturbed first order differential equations, subject to a nonlocal initial condition on an unbounded interval, which is the novelty here. By means of the principle of contraction mapping to establish the existence result and by a Gronwall-like inequality, we obtain the asymptotic stability and the λ-stability of the zero solution. Finally, we give an illustrative example. |
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| ISSN: | 1840-0655 2233-1964 |
| DOI: | 10.5644/SJM.18.02.09 |