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Mild Solutions Of Coupled Hybrid Fractional Order System With Caputo–Hadamard Derivatives

Author

Listed:
  • PALLAVI BEDI

    (Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151001, Punjab, India)

  • ANOOP KUMAR

    (Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151001, Punjab, India)

  • THABET ABDELJAWAD

    (Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia3Department of Medical Research, China Medical University, Taichung 40402, Taiwan4Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan)

  • AZIZ KHAN

    (Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia)

  • J. F. GÓMEZ-AGUILAR

    (CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, México)

Abstract

This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo–Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability of obtained result an example is also presented.

Suggested Citation

  • Pallavi Bedi & Anoop Kumar & Thabet Abdeljawad & Aziz Khan & J. F. Gã“Mez-Aguilar, 2021. "Mild Solutions Of Coupled Hybrid Fractional Order System With Caputo–Hadamard Derivatives," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-10, September.
  • Handle: RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501589
    DOI: 10.1142/S0218348X21501589
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