Opuscula Math. 42, no. 3 (2022), 415-426
https://doi.org/10.7494/OpMath.2022.42.3.415
Opuscula Mathematica
Growth of solutions of a class of linear fractional differential equations with polynomial coefficients
Saada Hamouda
Sofiane Mahmoudi
Abstract. This paper is devoted to the study of the growth of solutions of certain class of linear fractional differential equations with polynomial coefficients involving the Caputo fractional derivatives by using the generalized Wiman-Valiron theorem in the fractional calculus.
Keywords: linear fractional differential equations, growth of solutions, Caputo fractional derivative operator.
Mathematics Subject Classification: 34M10, 26A33.
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- Saada Hamouda (corresponding author)
https://orcid.org/0000-0002-2750-559X- University Abdelhamid Ibn Badis, Laboratory of Pure and Applied Mathematics, Department of Mathematics and Computer Science, Mostaganem, Algeria
- Sofiane Mahmoudi
- University Abdelhamid Ibn Badis, Laboratory of Pure and Applied Mathematics, Department of Mathematics and Computer Science, Mostaganem, Algeria
- Communicated by P.A. Cojuhari.
- Received: 2022-01-31.
- Accepted: 2022-02-18.
- Published online: 2022-04-29.
