Ulam stabilities for partial Hadamard fractional integral equations

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• 作者：Saïd Abbas ; Wafaa Albarakati ; Mouffak Benchohra…
• 关键词：34A08 ; 34K05
• 刊名：Arabian Journal of Mathematics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：5
• 期：1
• 页码：1-7
• 全文大小：501 KB
• 参考文献：1.Abbas S., Benchohra M.: Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative. Commun. Math. Anal. 7, 62–72 (2009)
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  22.Pooseh S., Almeida R., Torres D.: Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative. Numer. Funct. Anal. Optim. 33(3), 301–319 (2012)CrossRef
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• 作者单位：Saïd Abbas (1)
  Wafaa Albarakati (3)
  Mouffak Benchohra (2) (3)
  Juan J. Trujillo (4)
  
  1. Laboratory of Mathematics, University of Saïda, P.O. Box 138, 20000, Saida, Algeria
  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  2. Laboratory of Mathematics, University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès, 22000, Algeria
  4. Departamento de Análisis Matemático, Universidad de La Laguna, 38271, La Laguna, Tenerife, Spain
  
• 刊物主题：Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：2193-5351

文摘

This paper deals with some existence and Ulam stability results for a class of partial integral equations via Hadamard’s fractional integral, by applying Schauder’s fixed-point theorem. Mathematics Subject Classification 34A08 34K05