Vivek, D.; Kanagarajan, K.; Sivasundaram, S. Dynamics and stability of pantograph equations via Hilfer fractional derivative. (English) Zbl 1357.34020 Nonlinear Stud. 23, No. 4, 685-698 (2016). Summary: In this paper we analyse existence, uniquness, Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability for pantograph equation with Hilfer fractional derivative. The existence result is obtained by using the Scheafer’s fixed point theorem. Cited in 14 Documents MSC: 34A08 Fractional ordinary differential equations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 45G05 Singular nonlinear integral equations Keywords:generalized Riemann-Lioville fractional derivative; Hilfer derivative; pantograph equations; fixed point; generaliyed Ulam-Hyers stability PDFBibTeX XMLCite \textit{D. Vivek} et al., Nonlinear Stud. 23, No. 4, 685--698 (2016; Zbl 1357.34020) Full Text: Link