Rapid Convergence of Approximate Solutions for Fractional Differential Equations

Rapid Convergence of Approximate Solutions for Fractional Differential Equations

In this paper, we develop a generalized quasilinearization technique for a class of Caputo’s fractional differential equations when the forcing function is the sum of hyperconvex and hyperconcave functions of order m (m≥0), and we obtain the convergence of the sequences of approximate solutions by e...

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Veröffentlicht in:Journal of function spaces 2020, Vol.2020 (2020), p.1-8
Hauptverfasser: Wu, Xiran, Sun, Yufeng, Bao, Junyan
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Differential equations
Electrical engineering
Mathematical analysis
Sequences
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Zusammenfassung:In this paper, we develop a generalized quasilinearization technique for a class of Caputo’s fractional differential equations when the forcing function is the sum of hyperconvex and hyperconcave functions of order m (m≥0), and we obtain the convergence of the sequences of approximate solutions by establishing the convergence of order k (k≥2).
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/5370524