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Numerical and analytical approach of nonlinear fractional pantograph nonlocal differential systems with non-singular kernel

  • K. Jothimani,
  • N. Valliammal,
  • V. Vijayakumar

摘要

The objective of this study is to derive the appropriate conditions for the existence of Atangana-Baleanu-Caputo (ABC) fractional pantograph nonlocal systems. Using the Kranoselskii’s fixed point theorem and the Banach contraction principle, the existence and uniqueness of the system are described. To validate our derived results, an illustration is provided using Picard’s iterative technique as a recurrence relation is derived by the successive approximation.