Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen
10.30504/jims.2026.593348.1344
Abstract
Our study focuses on tempered-Caputo implicit fractional Volterra-Fredholm systems (TCIFV-FSs) with retarded and advanced delays in Banach spaces (BS) with nonlocal conditions. We use Sadovskii's fixed point theorem (FPT) and measure of noncompactness to prove that TCIFV-FSs in BS have solutions under nonlocal conditions, given appropriate assumptions. Furthermore, we show that the solution is Ulam-Hyers stable (U-HS). These results add valuable insights to the existing research on this sector. Finally, we present an example to highlight the key findings.
Hamoud, A. A. (2026). Some New Results on Implicit Tempered-Caputo Fractional Volterra-Fredholm System. (e255851). Journal of the Iranian Mathematical Society, (), e255851 https://doi.org/10.30504/jims.2026.593348.1344
MLA
Hamoud, A. A. "Some New Results on Implicit Tempered-Caputo Fractional Volterra-Fredholm System" .e255851 , Journal of the Iranian Mathematical Society, , 2026, e255851. doi: 10.30504/jims.2026.593348.1344
HARVARD
Hamoud, A. A. (2026). 'Some New Results on Implicit Tempered-Caputo Fractional Volterra-Fredholm System', Journal of the Iranian Mathematical Society, (), e255851. doi: 10.30504/jims.2026.593348.1344
CHICAGO
Hamoud, A. A., "Some New Results on Implicit Tempered-Caputo Fractional Volterra-Fredholm System." Journal of the Iranian Mathematical Society, (2026): e255851, doi: 10.30504/jims.2026.593348.1344
VANCOUVER
Hamoud A. A. Some New Results on Implicit Tempered-Caputo Fractional Volterra-Fredholm System. JIMS. 2026;():e255851. doi: 10.30504/jims.2026.593348.1344
