Study of Mainardi’s fractional heat problem

Study of Mainardi’s fractional heat problem

In this paper, we focus on the fractional heat problem. We give the integral representation of that problem as an integral equation involving the Mainardi function at the kernel, then point out the existence and stability. The existence results are obtained by some fixed point theorems and about the...

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Veröffentlicht in:Journal of computational and applied mathematics 2020-11, Vol.378, p.112943, Article 112943
Hauptverfasser: Saifia, O., Boucenna, D., Chidouh, A.
Format: Artikel
Sprache:eng
Schlagworte:
Fixed point theorem
Fourier transform
Fractional differential equations
Hyers–Ulam stability
Laplace transform
Mainardi function
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Zusammenfassung:In this paper, we focus on the fractional heat problem. We give the integral representation of that problem as an integral equation involving the Mainardi function at the kernel, then point out the existence and stability. The existence results are obtained by some fixed point theorems and about the stability, we use the Laplace and Fourier transforms as a good technique to establish our results.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2020.112943