Solvability of Quadratic Integral Equations of Urysohn Type Involving Hadamard Variable-Order Operator
Yazarlar (4)
Yabancı Kurumlar
Prof. Dr. Ali YAKAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
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| Makale Alt Türü | Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale |
| Dergi Adı | Fundamental journal of mathematics and applications (Online) |
| Dergi ISSN | 2645-8845 |
| Dergi Tarandığı Indeksler | TR DİZİN |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2024 |
| Cilt No | 7 |
| Sayı | 2 |
| Sayfalar | 108 / 117 |
| DOI Numarası | 10.33401/fujma.1405875 |
| Makale Linki | http://dx.doi.org/10.33401/fujma.1405875 |
| Özet |
| This study investigates the existence of solutions to integral equations in the form of quadratic Urysohn type with Hadamard fractional variable order integral operator. Due to the lack of semigroup properties in variable-order fractional integrals, it becomes challenging to get the existence and uniqueness of corresponding integral equations, hence the problem is examined by employing the concepts of piecewise constant functions and generalized intervals to address this issue. In this context, the problem is reformulated as integral equations with constant orders to obtain the main results. Both the Schauder and Banach fixed point theorems are employed to prove the uniqueness results. In addition, an illustration is included in order to verify those results in the final step. |
| Anahtar Kelimeler |
| Fixed-point theorem | Fractional variable order | Volterra integral equations |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 11 |