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Existence and Monotone Iterative Approximation of Solutions for Neutral Differential Equations with Generalized Fractional Derivatives

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  • Dussadee Somjaiwang
  • Parinya Sa Ngiamsunthorn

Abstract

We study the existence and monotone iterative approximation of mild solutions of fractional‐order neutral differential equations involving a generalized fractional derivative of order 0

Suggested Citation

  • Dussadee Somjaiwang & Parinya Sa Ngiamsunthorn, 2022. "Existence and Monotone Iterative Approximation of Solutions for Neutral Differential Equations with Generalized Fractional Derivatives," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1239701
    DOI: 10.1155/2022/1239701
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    References listed on IDEAS

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    3. Shruti Agarwal & Dhirendra Bahuguna, 2006. "Existence of solutions to Sobolev-type partial neutral differential equations," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-10, March.
    4. Naik, Parvaiz Ahmad & Owolabi, Kolade M. & Yavuz, Mehmet & Zu, Jian, 2020. "Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    5. Sunil Kumar & Ali Ahmadian & Ranbir Kumar & Devendra Kumar & Jagdev Singh & Dumitru Baleanu & Mehdi Salimi, 2020. "An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets," Mathematics, MDPI, vol. 8(4), pages 1-22, April.
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