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Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

Author

Listed:
  • Dumitru Baleanu
  • Octavian G. Mustafa
  • Ravi P. Agarwal

Abstract

We establish here that under some simple restrictions on the functional coefficient the fractional differential equation , has a solution expressible as for , where designates the Riemann-Liouville derivative of order and .

Suggested Citation

  • Dumitru Baleanu & Octavian G. Mustafa & Ravi P. Agarwal, 2010. "Asymptotically Linear Solutions for Some Linear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-8, December.
  • Handle: RePEc:hin:jnlaaa:865139
    DOI: 10.1155/2010/865139
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    Cited by:

    1. Al-Smadi, Mohammed & Arqub, Omar Abu & Zeidan, Dia, 2021. "Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Ahmadian, A. & Salahshour, S. & Ali-Akbari, M. & Ismail, F. & Baleanu, D., 2017. "A novel approach to approximate fractional derivative with uncertain conditions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 68-76.

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