Nonlinear Functional Analysis and Applications

  • 제28권4호
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  • Pages.1017-1034
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  • 2023
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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SOLVABILITY FOR A CLASS OF FDES WITH SOME (e1, e2, θ)-NONLOCAL ANTI PERIODIC CONDITIONS AND ANOTHER CLASS OF KDV BURGER EQUATION TYPE

  • Iqbal Jebril (Department of Mathematics, Al-Zaytoonah University of Jordan) ;
  • Yazid GOUARI (Ecole Normale Superieure, University of Mostaganem) ;
  • Mahdi RAKAH (Laboratory of Pure and Applied Mathematics, University of Mostaganem, Department of Mathematics, University of Alger 1) ;
  • Zoubir DAHMANI (Laboratory of Pure and Applied Mathematics, Faculty of SEI, UMAB, University of Mostaganem)
  • 투고 : 2023.04.14
  • 심사 : 2023.06.26
  • 발행 : 2023.12.15
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초록

In this paper, we work two different problems. First, we investigate a new class of fractional differential equations involving Caputo sequential derivative with some (e1, e2, θ)-periodic conditions. The existence and uniqueness of solutions are proven. The stability of solutions is also discussed. The second part includes studying traveling wave solutions of a conformable fractional Korteweg-de Vries-Burger (KdV Burger) equation through the Tanh method. Graphs of some of the waves are plotted and discussed, and a conclusion follows.

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참고문헌

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