Existence and U-H-R Stability of Solutions to the Implicit Nonlinear FBVP in the Variable Order Settings
oleh: Mohammed K. A. Kaabar, Ahmed Refice, Mohammed Said Souid, Francisco Martínez, Sina Etemad, Zailan Siri, Shahram Rezapour
| Format: | Article |
|---|---|
| Diterbitkan: | MDPI AG 2021-07-01 |
Deskripsi
In this paper, the existence of the solution and its stability to the fractional boundary value problem (FBVP) were investigated for an implicit nonlinear fractional differential equation (VOFDE) of variable order. All existence criteria of the solutions in our establishments were derived via Krasnoselskii’s fixed point theorem and in the sequel, and its Ulam–Hyers–Rassias (U-H-R) stability is checked. An illustrative example is presented at the end of this paper to validate our findings.