List of Articles Fuzzy differential

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  1 - On the structural properties for the cross product of fuzzy numbers with applications
  Robab Alikhani
  In the fuzzy arithmetic, the definitions of addition and multiplication of fuzzy numbers are based on Zadeh’s extension principle. From theoretical and practical points of view, this multiplication of fuzzy numbers owns several unnatural properties. Recently, to a More

  In the fuzzy arithmetic, the definitions of addition and multiplication of fuzzy numbers are based on Zadeh’s extension principle. From theoretical and practical points of view, this multiplication of fuzzy numbers owns several unnatural properties. Recently, to avoid this shortcoming, a new multiplicative operation of product type is introduced, the so-called cross-product of fuzzy numbers. The main advantage is that this product preserves the shape of triangular or trapezoidal fuzzy numbers under multiplication and from computational point of view the cross product is more applicable than the usual product. The above mentioned properties motivate us to use the cross product in applications as a possible alternative of the product obtained by Zadeh's extension Principle. The aim of the present paper is to give an explicit formula for the cross product of triangular fuzzy numbers based on the scalar product of fuzzy numbers and then, explicit formulas for the length of cross product of triangular fuzzy numbers and fuzzy derivative of cross product of triangular fuzzy functions. As an application, we apply the cross product concept for the first order linear fuzzy differential equations with fuzzy variable coefficients and obtain its triangular solutions under generalized differentiability. Finally, some examples are given to illustrate the theoretical results. Manuscript profile
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  2 - Approximated solution of First order Fuzzy Differential Equations under generalized differentiability
  T. Allahviranloo N. Ahmady E. Ahmady
  In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value More

  In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value of fuzzy differential equations. The existence, uniqueness and convergence of the approximate solution are investigated. To show the advantage of method, this method is compared with the Euler method that was introduced in [۱], and it is shown this method is more accurate than Euler method for solving fuzzy differential equations under generalized differentiability. Manuscript profile
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  3 - Numerical Solution of fuzzy differential equations of nth-order by Adams-Bashforth method
  N. Parandin
  So far, many methods have been presented to solve the rst-order di erential equations. But, not many studies have been conducted for numerical solution of high-order fuzzy di erential equations. In this research, First, the equation by reducing time, we transform the rs More

  So far, many methods have been presented to solve the rst-order di erential equations. But, not many studies have been conducted for numerical solution of high-order fuzzy di erential equations. In this research, First, the equation by reducing time, we transform the rst-order equation. Then we have applied Adams-Bashforth multi-step methods for the initial approximation of one order di erential equations. Finally, we examine the accuracy of method by presenting examples. Manuscript profile
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  4 - Stability analysis of impulsive fuzzy differential equations with finite delayed state
  D. Naseh N. Pariz A. Vahidian Kamyad
  In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of More

  In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability of fuzzy dynamical systems, vector Lyapunov like functions are defined. Then, by using these vector Lyapunov-like functions together with the new comparison theorem which is presented before, we will get results for some concepts of stability (eventual stability, asymptotic stability, strong stability, uniform stability and their combinations) for impulsive fuzzy delayed system of differential equations. Moreover, some theorems for practical stability in terms of two measures are introduced and are proved. Finally, an illustrating example for stability checking of a system of differential equations with fuzziness and time delay in states is given. Manuscript profile
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  5 - Numerical solution of fuzzy differential equations under generalized differentiability by fuzzy neural network
  M. Otadi
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  6 - Necessary and Sufficient Optimality Conditions for a Control Fuzzy Linear Problem
  Mohammad Reza Tabeshpour
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  7 - حل مسائل مقدار اولیه کوشی – اویلر فازی مرتبه دوم تحت مشتق پذیری توسعه یافته
  مهران چهلابی
  10.30495/ijim.2022.19222
  در این مقاله، ما یک کلاس از مسائل مقداراولیه فازی مرتبه دوم که در حالت معمول، به معادلات دیفرانسیل کوشی-اویلر معروف هستند، را مطالعه می کنیم. این کار با مطالعه کردن ساختار تابع جواب در حالت معمول و فراهم کردن فضایی مطلوب از توابع مشتق پذیر توسعه یافته، آغاز می شود. در ا More

  در این مقاله، ما یک کلاس از مسائل مقداراولیه فازی مرتبه دوم که در حالت معمول، به معادلات دیفرانسیل کوشی-اویلر معروف هستند، را مطالعه می کنیم. این کار با مطالعه کردن ساختار تابع جواب در حالت معمول و فراهم کردن فضایی مطلوب از توابع مشتق پذیر توسعه یافته، آغاز می شود. در ادامه، فرایند تولید و ساخت فرمول های جواب همراه با جزئیات بحث شده است. در نهایت، بوسیله حل چند مثال، فرمول های یافت شده، مورد استفاده قرار گرفته و تشریح شده اند. Manuscript profile
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  8 - یک روش عددی برای حل معادله دیفرانسیل ضربه فازی براساس روش‌های فازی
  محدثه دیرباز سعید عباسبندی
  در این مقاله، ابتدا روش درون‌یابی تفضلات تقسیم شده‌ی نیوتن بر اساس تفاضلات تقسیم‌شده‌ی هاکوهارا، برای داده‌های فازی معرفی می‌شود. سپس روش‌های عددی اویلر فازی و اویلر بهبود‌یافته فازی برای حل مسئله مقدار اولیه ضربه فازی به کار می‌روند. به‌علاوه، الگوریتم برای حل مسئله مق More

  در این مقاله، ابتدا روش درون‌یابی تفضلات تقسیم شده‌ی نیوتن بر اساس تفاضلات تقسیم‌شده‌ی هاکوهارا، برای داده‌های فازی معرفی می‌شود. سپس روش‌های عددی اویلر فازی و اویلر بهبود‌یافته فازی برای حل مسئله مقدار اولیه ضربه فازی به کار می‌روند. به‌علاوه، الگوریتم برای حل مسئله مقدار اولیه ضربه فازی توضیح داده می‌شود و خطای قطع شده‌ی موضعی آن‌ها با جزئیات محاسبه می‌شود. در نهایت، برای نشان دادن کارآمدی روش چند مثال عددی حل می‌شود. Manuscript profile
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  9 - جواب عددی از معادلات دیفرانسیل فازی هیبریدی مرتبه دوم با دیفرانسیل پذیری تعمیم یافته
  نیره شهریاری سعید عباسبندی
  در این مقاله، یک روش عددی برای حل معادلات دیفرانسیل فازی  هیبریدی مرتبه دوم با استفاده از بسط تیلور فازی تحت دیفرانسیل پذیری تعمیم یافته هاکوهارا و همچنین قضیه همگرایی ارائه شده است. همچنین کاربرد روش با حل چندین مثال عددی نشان داده شده است. نتایج نهایی نشان دهنده& More

  در این مقاله، یک روش عددی برای حل معادلات دیفرانسیل فازی  هیبریدی مرتبه دوم با استفاده از بسط تیلور فازی تحت دیفرانسیل پذیری تعمیم یافته هاکوهارا و همچنین قضیه همگرایی ارائه شده است. همچنین کاربرد روش با حل چندین مثال عددی نشان داده شده است. نتایج نهایی نشان دهنده  جواب معادلات دیفرانسیل فازی هیبریدی مرتبه دوم است. Manuscript profile
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  10 - Solution of fuzzy differential equations
  M. Otadi M. Mosleh
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  11 - Approximate Solution of Fuzzy Fractional Differential Equations
  A. Panahi
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  12 - Numerical solution of hybrid fuzzy differential equations by fuzzy neural network
  M. Othadi M. Mosleh
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  13 - A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized ‎Differentiability‎
  E. Ahmady N. Ahmady
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  14 - Generalized H-differentiability for solving second order linear fuzzy differential ‎equations
  P. Darabi S. Moloudzadeh‎ H. Khandani‎
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  15 - Using finite difference method for solving linear two-point fuzzy boundary value problems based on extension principle
  Seyed Majid Alavi
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  16 - A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
  S. Siah-Mansouri O. Solaymani Fard M. M. Gachpazan
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  17 - Mathematical Modeling of Cancer Cells and Chemotherapy Protocol Dealing Optimization Using Fuzzy Differential Equations And Lypunov Stability Criterion
  Hadi Abbasnejad
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  18 - A Method for Solving Linear Systems of Fuzzy Differential Equations under Generalized Hukuhara Differentiability
  Mehran Chehlabi Masuod Salehi Sarvestani
  10.30495/fomj.2023.1987990.1090
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  19 - SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY ADOMIAN DECOMPOSITION METHOD
  ت. اللهویرانلو ل. جمشیدی
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  20 - THE FULL AVERAGING OF FUZZY DIFFERENTIAL INCLUSIONS
  Natalia Skripnik
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  21 - Investigating and Improving the Uncertainty of Control Systems Using Fuzzy Differential Equations
  Fateme Arab
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  22 - Initial value problems for second order hybrid fuzzy differential equations
  M. Otadi
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  23 - Second order linear differential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
  S. P. Mondal T. K. Roy
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  24 - Solution of the first order fuzzy differential equations with generalized differentiability
  L. Jamshidi T. Allahviranloo
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  25 - Initial Value ‎P‎roblems for Fourth-Order Fuzzy Differential Equations by Fuzzy Laplace ‎‎T‎ransform
  Hülya Gültekin Çitil
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  26 - APPLICATION OF DIFFERENTIAL TRANSFORM METHOD TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATIONS
  Mahmoud Paripour Homa Heidari Elahe Hajilou
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