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On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations

Author

Listed:
  • Yasar Bolat

    (Department of Mathematics, Faculty of Arts & Sciences, Kastamonu University, Kastamonu 37210, Turkey)

  • Murat Gevgeşoğlu

    (Department of Mathematics, Faculty of Arts & Sciences, Kastamonu University, Kastamonu 37210, Turkey)

  • George E. Chatzarakis

    (Department of Electrical and Electronic Engineering Educators, School of Pedagogical & Technological Education, 15122 Marousi, Greece)

Abstract

In applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important. Due to this importance, in this study, a qualitative analysis of the solutions of a delayed and constant coefficient fractal differential equation with more than one fractional derivative was performed. In the equation under consideration, the derivatives are the Riemann–Liouville fractional derivatives. In the proof of the obtained results, Laplace transform formulas of the Riemann–Liouville fractional derivative and some inequalities are used. We also provide some examples to check the accuracy of our results.

Suggested Citation

  • Yasar Bolat & Murat Gevgeşoğlu & George E. Chatzarakis, 2024. "On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations," Mathematics, MDPI, vol. 12(16), pages 1-7, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2435-:d:1450746
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    References listed on IDEAS

    as
    1. Jumarie, Guy, 2008. "Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 271-287, February.
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