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Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative

Author

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  • Ma, Qinghua
  • Wang, Rongnian
  • Wang, Junwei
  • Ma, Yicheng

Abstract

Based on an elementary inequality and two Gronwall–Bellman type integral inequality systems, this paper generalizes the results for the constructions of explicit bounds and the qualitative properties for the solutions of certain fractional systems with Hadamard derivative established in a recent paper by the authors. The major generalizations come from linearization method and de-singular approach after overcoming some difficulties in the Hadamard type singular kernel.

Suggested Citation

  • Ma, Qinghua & Wang, Rongnian & Wang, Junwei & Ma, Yicheng, 2015. "Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 436-445.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:436-445
    DOI: 10.1016/j.amc.2014.10.084
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    Cited by:

    1. Pei, Ke & Wang, Guotao & Sun, Yanyan, 2017. "Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 158-168.
    2. Aljoudi, Shorog & Ahmad, Bashir & Nieto, Juan J. & Alsaedi, Ahmed, 2016. "A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 39-46.

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