PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
February 2, 2026Fractals0 citations

Research on approximate solutions of nonlinear conformable fractional differential systems

View Full Paper
YQYongfang QiGLGUOPING LI

Key Points

  • The study aims to find approximate solutions to nonlinear conformable fractional differential systems while ensuring validity.
  • Converted the fractional differential system into a fractional integral system
  • Constructed a sequence of functions based on this system
  • Proved uniform convergence of the function sequence using series convergence techniques
  • Investigated existence and uniqueness of solutions
  • Demonstrated that the constructed sequence converges uniformly
  • Established conditions for existence and uniqueness of solutions
  • Calculated the error between approximate and exact solutions.

Abstract

In the first place, for the convenience of research, we convert the conformable fractional differential system into an conformable fractional integral system, and based on this, we construct a sequence of functions. In addition, with the help of series convergence, we prove that the constructed function sequence converges uniformly. Finally, we investigate the existence and uniqueness of solutions to the conformable fractional differential system. Our researches contribute to finding approximate solutions for the nonlinear conformable fractional differential systems. Of course, through our researches, the error between approximate and exact solutions can also be calculated.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Qi et al. (2026) studied this question.

synapsesocial.com/papers/6980fff5c1c9540dea812eb2https://doi.org/10.1142/s0218348x26500404
Ask AI
Helpful
Bookmark
Share
View Full Paper