Initial Value Problem for Stochastic Hyprid Hadamard Fractional Differential Equation

In this paper, we discuss the existence of solutions for a stochastic initial value problem of Hyprid fractional dierential equations of Hadamard type given by                            where HD is the Hadamard fractional derivative, and is the Hadamard fractional integral and be such that are inve...

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Veröffentlicht in:JOURNAL OF ADVANCES IN MATHEMATICS 2019-02, Vol.16, p.8288-8296
Hauptverfasser: El-Borai, Mahmoud Mohammed Mostafa, El-sayed, Wagdy G., Badr, A. A., Sayed, Ahmed Tarek
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we discuss the existence of solutions for a stochastic initial value problem of Hyprid fractional dierential equations of Hadamard type given by                            where HD is the Hadamard fractional derivative, and is the Hadamard fractional integral and be such that are investigated. The fractional calculus and stochastic analysis techniques are used to obtain the required results. 
ISSN:2347-1921
2347-1921
DOI:10.24297/jam.v16i0.8113