Title of article
FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES
Author/Authors
Hoang Viet Long، Hoang Viet Long نويسنده Division of Computational Mathematics and Engineering, Insti- tute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet- nam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam , , Nguyen Thi Kim Son، Nguyen Thi Kim Son نويسنده Department of Mathematics, Hanoi University of Education, Vietnam , , Ngo Van Hoa، Ngo Van Hoa نويسنده Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam ,
Issue Information
دوماهنامه با شماره پیاپی سال 2017
Pages
20
From page
107
To page
126
Abstract
در اين مقاله، معادلات ديفرانسيل جزيي كسري فازي تحت ديفرانسيل پذيري Hukuhara تعميم يافته Caputo را در نظر مي گيريم. برخي از نتايج جديد در خصوص وجود و يكتايي دو نوع از جوابهاي فازي از طريق نگاشت بطور ضعيف انقباضي در فضاي متريك مرتب جزيي مورد مطالعه قرار مي گيرند. مثالهاي كاربردي جهت روشن شدن نتايج اصلي نيز ارايه گرديده اند.
Abstract
In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2017
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2402891
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