A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation via fixed point method

By S. K. Panda, Thabet Abdeljawad, Chokkalingam Ravichandran. 2020

84 citations recorded by the source corpus.

Abstract This paper involves complex valued versions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation. Under various suitable assumptions the results are established in the setting of complex valued double controlled metric space. Thereafter, by making consequent use of the fixed point method, short and simple proofs are obtained for solutions of Riemann-Liouville integral, complex valued Atangana-Baleanu integral operator and non-linear Telegraph equation.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/3b05638963f6af2c49c305f53652d22d3cb21139

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In Applied Mathematics

  1. R. Chauhan
  2. Shaher Momani
  3. Sunil Kumar
  4. Samir Ben Hadid
  5. Ji-Huan He
  6. Zaid M. Odibat
  7. Mehdi Dehghan
  8. Mehmet Yavuz

In Geometry and Topology

  1. Shaher Momani
  2. Sunil Kumar

In Modeling and Simulation

  1. Sunil Kumar
  2. Shaher Momani
  3. Samir Ben Hadid
  4. R. Chauhan
  5. Zaid M. Odibat
  6. Ji-Huan He
  7. Mehdi Dehghan
  8. Saeed Kazem

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