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Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain

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  • Agarwal, Praveen
  • Baltaeva, Umida
  • Alikulov, Yolqin

Abstract

In this work we study a boundary-value problem for a loaded mixed type equation in an infinite three-dimensional domain. Purpose of this work is to solve biological population model of the generalized fractional order differential equation involving the Riemann-Liouville operators. We will study constructing optimal representations of the solution in each domain and under certain additional conditions to study questions of the existence and uniqueness of solution of boundary-value problems.

Suggested Citation

  • Agarwal, Praveen & Baltaeva, Umida & Alikulov, Yolqin, 2020. "Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305051
    DOI: 10.1016/j.chaos.2020.110108
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    References listed on IDEAS

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    1. Atangana, Abdon, 2020. "Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
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    Cited by:

    1. Nikolai Sidorov & Denis Sidorov, 2022. "Branching Solutions of the Cauchy Problem for Nonlinear Loaded Differential Equations with Bifurcation Parameters," Mathematics, MDPI, vol. 10(12), pages 1-8, June.

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