Some qualitative properties of nonlinear fractional integro-differential equations of variable order
Yazarlar (3)
Université Djillali Liabes De Sidi Bel Abbes, Cezayir
Université Ibn-Khaldoun Tiaret, Cezayir
Prof. Dr. Ali YAKAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
|
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | International Journal of Optimization and Control Theories and Applications |
| Dergi ISSN | 2146-0957 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2021 |
| Cilt No | 11 |
| Sayı | 3 |
| Sayfalar | 68 / 78 |
| DOI Numarası | 10.11121/ijocta.2021.1198 |
| Makale Linki | http://dx.doi.org/10.11121/ijocta.2021.1198 |
| Özet |
| The existence-uniqueness criteria of nonlinear fractional integro-differential equations of variable order with multiterm boundary value conditions are considered in this work. By utilizing the concepts of generalized intervals combined with the piecewise constant functions, we transform our problem into usual Caputo’s fractional differential equations of constant order. We develop the necessary criteria for assuring the solution’s existence and uniqueness by applying Schauder and Banach fixed point theorem. We also examine the stability of the derived solution in the Ulam-Hyers-Rassias (UHR) sense and provide an example to demonstrate the credibility of the results. |
| Anahtar Kelimeler |
| Boundary value problem | Fixed point theorem | Fractional differential equations of variable order | Ulam-Hyers-Rassias stability |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 13 |
| SCOPUS | 18 |
| TRDizin | 2 |
| Google Scholar | 19 |