Analysis of nonlinear neutral pantograph differential equations with Hilfer fractional derivative

Analysis of neutral pantograph differential equations

  • Elsayed M. Elsayed King AbdulAziz University
  • S. Harikrishnan
  • K. Kanagarajan
Keywords: ψ-Hilfer fractional derivative, Existence, Stability


In this paper, we discuss the existence, uniqueness and stability of nonlinear neutral pantograph equation with ?-Hilfer fractional derivative. The arguments are based upon Schauder fixed point theorem and Banach contraction principle. Moreover we discuss the Ulam-Hyers type stability.


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How to Cite
Elsayed, E., Harikrishnan, S., & Kanagarajan, K. (2018). Analysis of nonlinear neutral pantograph differential equations with Hilfer fractional derivative. MathLAB Journal, 1(2), 231-240. Retrieved from
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