Solution of Abel's Integral Equation By Using Sawi Integral Transform
DOI:
https://doi.org/10.37375/bsj.v7i20.3650الكلمات المفتاحية:
معادلة ابل التكاملية، الالتفاف، تحويل ساوي، تحويل ساوي العكسيالملخص
في هذا العمل، نُقدّم تطبيقًا جديدًا لحل معادلة تكاملية شاذة، وتحديدًا معادلة آبل التكاملية من النوع الأول، باستخدام تحويل ساوي التكاملي. نُقدّم عددًا من الأمثلة لإثبات فعالية النهج المُقترح. تُظهر النتائج أن تحويل ساوي التكاملي أداة تكامل فعّالة ومفيدة للغاية لحل وتبسيط هذا النوع من المعادلات التكاملية.
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