Lyapunov type inequalities for mixed nonlinear Riemann-Liouville fractional differential equations with a forcing term

Agarwal, Ravi; Ozbekler, ABDULLAH

doi:10.1016/j.cam.2016.10.009

Lyapunov type inequalities for mixed nonlinear Riemann-Liouville fractional differential equations with a forcing term

Atıf İçin Kopyala

Agarwal R. P., Ozbekler A.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.314, ss.69-78, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 314
Basım Tarihi: 2017
Doi Numarası: 10.1016/j.cam.2016.10.009
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.69-78
Ankara Üniversitesi Adresli: Hayır

Özet

In this paper, we present some new Lyapunov and Hartman type inequalities for Riemann-Liouville fractional differential equations of the form ((a)D(alpha)x)(t) + p(t) vertical bar x(t) vertical bar(mu-1) x(t) + q(t) vertical bar x(t) vertical bar(gamma-1) x(t) = f(t), where p, q, f are real-valued functions and 0 < gamma < 1 < mu < 2. No sign restrictions are imposed on the potential functions p, q and the forcing term f. The inequalities obtained generalize and compliment the existing results for the special cases of this equation in the literature. (C) 2016 Elsevier B.V. All rights reserved.