Existence, Uniqueness and Stability of Hilfer Type Neutral Pantograph Differential Equations with Nonlocal Conditions
D. Vivek1, E. M. Elsayed2*, K. Kanagarajan3
Citation : D. Vivek, E. M. Elsayed, K. Kanagarajan, Existence, Uniqueness and Stability of Hilfer Type Neutral Pantograph Differential Equations with Nonlocal Conditions International Journal of Scientific and Innovative Mathematical Research 2018 , 6(8) : 42-53.
A study on dynamics and stability of nonlinear neutral pantograph equations with Hilfer fractional derivative is the main aim of this paper. The existence result is obtained by using Scheafer's fixed point theorem. In addition we discuss Ulam stability of the system by employing Banach contraction principle.