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A novel method for a fractional derivative with non-local and non-singular kernel

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  • Akgül, Ali

Abstract

Atangana and Baleanu gave a derivative with fractional order to search the valuable inquiries. We present a novel technique for investigating fractional differential equations including the Atangana-Baleanu fractional derivative in this paper. We give some examples for this method for equations of fractional initial value problems.

Suggested Citation

  • Akgül, Ali, 2018. "A novel method for a fractional derivative with non-local and non-singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 478-482.
    • Handle: RePEc:eee:chsofr:v:114:y:2018:i:c:p:478-482
    DOI: 10.1016/j.chaos.2018.07.032
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    References listed on IDEAS

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    1. Al-Smadi, Mohammed & Arqub, Omar Abu & Shawagfeh, Nabil & Momani, Shaher, 2016. "Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 137-148.
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    Cited by:

    1. Akinlar, M.A. & Inc, Mustafa & Gómez-Aguilar, J.F. & Boutarfa, B., 2020. "Solutions of a disease model with fractional white noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    2. Bentout, Soufiane & Djilali, Salih & Kumar, Sunil, 2021. "Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    3. Kumar, Pushpendra & Erturk, Vedat Suat & Vellappandi, M. & Trinh, Hieu & Govindaraj, V., 2022. "A study on the maize streak virus epidemic model by using optimized linearization-based predictor-corrector method in Caputo sense," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    4. Riaz, M.B. & Iftikhar, N., 2020. "A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).

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