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Stability analysis of an implicit fractional integro-differential equation via integral boundary conditions

Alexandria Engineering Journal, ISSN: 1110-0168, Vol: 87, Page: 501-514
2024
  • 5
    Citations
  • 0
    Usage
  • 1
    Captures
  • 1
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    5
    • Citation Indexes
      5
  • Captures
    1
  • Mentions
    1
    • News Mentions
      1
      • 1

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Researchers from Faculty of Engineering Sciences Provide Details of New Studies and Findings in the Area of Engineering (Stability analysis of an implicit fractional integro-differential equation via integral boundary conditions)

2024 JAN 19 (NewsRx) -- By a News Reporter-Staff News Editor at Engineering Daily News -- Fresh data on engineering are presented in a new

Article Description

The primary objective of this research study is to analyze a boundary problem involving Caputo fractional integro-differential equations. The focus is on a differential equation with a nonlinear right-hand side composed of two terms. The stability analysis of a fractional integro-differential equation is presented using Ulam's concept. Furthermore, this research study establishes the correlation between the stated problem and the Volterra integral equation. The investigation proceeds by utilizing the renowned Banach and Krasnoselskii's fixed point theorems to explore the existence and uniqueness of solutions for the problem. Additionally, to provide tangible evidence of the abstract findings, two illustrative examples are presented.

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