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 ,
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.
