System of fuzzy fractional differential equations in generalized metric space

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
View: 153

This Paper With 15 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_IJFS-16-2_010

تاریخ نمایه سازی: 17 آبان 1400

Abstract:

In this paper, we study the existence of integral solutions of fuzzy fractional differential systems with nonlocal conditions under Caputo generalized Hukuhara derivatives. These models are considered in the framework of completegeneralized metric spaces in the sense of Perov. The novel feature of our approach is the combination of the convergentmatrix technique with Schauder fixed point principle of vector valued operators in semilinear Banach spaces. Somecomputational examples are represented to demonstrate our theoretical results.

Keywords:

Authors

Long Hoang

Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.

Nguyen Thi Kim Son

Center for Science and Technology Information, Hanoi Metropolitan University, ۹۸ Duong Quang Ham, Quan Hoa, Cau Giay, Ha Noi, Viet Nam

Phuong Thao

Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • R. P. Agarwal, V. Lakshmikantham, J. J. Nieto, On the ...
  • R. P. Agarwal, S. Arshad, D. O’Regan, V. Lupulescu, Fuzzy ...
  • R. P. Agarwal, S. Arshad, D. O’Regan, V. Lupulescu, A ...
  • A. Ahmadian, S. Salahshour, D. Baleanu, H. Amirkhani, R. Yunus,Tau ...
  • A. Ahmadian, S. Salahshour, C. S. Chan, Fractional differential systems: ...
  • A. Ahmadian, S. Salahshour, C. S. Chan, D. Baleanu, Numerical ...
  • T. Allahviranloo, S. Salahshour, S. Abbasbandy, Explicit solutions of fractional ...
  • T. Allahviranloo, Z. Gouyandeh, A. Armand, Fuzzy fractional differential equations ...
  • B. Bede, Mathematics of Fuzzy Sets and Fuzzy Logic, Springer-Verlag ...
  • B. Bede, L. Stefanini, Generalized differentiability of fuzzy valued functions, ...
  • L. Byszewski, V. Lakshmikantham, Theorem about the existence and uniqueness ...
  • L. Byszewski, Theorems about existence and uniqueness of solutions of ...
  • N. V. Hoa, Fuzzy fractional functional differential equations under Caputo ...
  • N. V. Hoa, Fuzzy fractional functional integral and differential equations, ...
  • H. V. Long, N. T. K. Son, N. T. M. ...
  • H. V. Long, N. T. K. Son, H. T. T. ...
  • H. V. Long, N. T. K. Son, N. V. Hoa, ...
  • H. V. Long, N. K. Son, H. T. Tam, The solvability ...
  • H. V. Long, J. J. Nieto, N. T. K. Son, ...
  • M. T. Malinowski, On random fuzzy differential equations, Fuzzy Sets ...
  • M. T. Malinowski, Random fuzzy differential equations under generalized Lipschitz ...
  • M. T. Malinowski, Random fuzzy fractional integral equations-theoretical foundations, Fuzzy ...
  • M. Mazandarani, A. Vahidian Kamyad, Modified fractional Euler method for ...
  • N. Octavia, R. Precup, On the nonlocal initial value problem ...
  • N. Octavia, R. Precup, Implicit first order differential systems with ...
  • R. Precup, Methods in Nonlinear Integral Equations, Kluwer, Dordrecht, ۲۰۰۲ ...
  • H. Rom´aan-Flores, M. Rojas-Medar, Embedding of level-continuous fuzzy sets on ...
  • S. Salahshour, T. Allahviranloo, S. Abbasbandy, D. Baleanu, Existence and ...
  • S. Salahshour, A. Ahmadian, N. Senu, D. Baleanu, P. Agarwal, ...
  • S. Salahshour, A. Ahmadian, F. Ismail, D. Baleanu, A novel ...
  • S. Salahshour, A. Ahmadian, F. Ismail, D. Baleanu, A fractional ...
  • S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional ...
  • M. P. Sapagovas, The difference method for the solution of ...
  • Uravn. Primen., ۳۱ (۱۹۷۸), ۶۳-۷۲. (in Russian)[۳۷] L. Stefanini, B. ...
  • نمایش کامل مراجع