Differential inequalities for hybrid fractional differential equations (Q2855183)
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scientific article; zbMATH DE number 6219473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential inequalities for hybrid fractional differential equations |
scientific article; zbMATH DE number 6219473 |
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Differential inequalities for hybrid fractional differential equations (English)
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24 October 2013
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hybrid fractional differential equation
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differential inequalities
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existence theorem
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comparison result
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perturbed system
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The author considers the system NEWLINE\[NEWLINED^q[x(t) - f(t,x(t)) ]=g(t, x(t))NEWLINE\]NEWLINE of Riemann Liouville fractional differential equations and studies an initial value problem.NEWLINENEWLINECriteria for the existence of solutions of the considered system are derived. The ideas of the proofs are briefly indicated and hence one has to refer to the following papers for a detailed exposition: [\textit{B. C. Dhage} and \textit{P. V. Mugale}, ``On some basic results for IVPs of hybridractional differential equations'', Comm. Appl. Nonlinear Anal. 19, 83--96 (2012); \textit{B. C. Dhage}, Nonlinear Stud. 13, No. 4, 343-354 (2006; Zbl 1120.47047)].
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