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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Extremal solutions for certain type of fractional differential equations with maxima | Advances in Difference Equations SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Extremal solutions for certain type of fractional differential equations with maxima Advances in Difference Equations 2012 2012 7 doi 10.1186 1687-1847-2012-7 Rabha W Ibrahim rabhaibrahim@yahoo.com ISSN 1687-1847 Article type Research Submission date 13 September 2011 Acceptance date 8 February 2012 Publication date 8 February 2012 Article URL http www.advancesindifferenceequations.com content 2012 1 7 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Advances in Difference Equations go to http www.advancesindifferenceequations.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Ibrahim licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Extremal solutions for certain type of fractional differential equations with maxima Rabha W Ibrahim Institute of Mathematical Sciences University Malaya 50603 Kuala Lumpur Malaysia Email address rabhaibrahim@yahoo.com Abstract In this article we employ the Tarski s fixed point theorem to establish the existence of extremal solutions for fractional differential equations with maxima. 1 Introduction Fractional calculus has become an exciting new mathematical method of solution of diverse problems in mathematics science and engineering. Indeed recent advances of fractional calculus are dominated by modern examples of applications in differential and integral equations 1 and .