Filters








16,683 Hits in 8.0 sec

Page 8064 of Mathematical Reviews Vol. , Issue 2002K [page]

2002 Mathematical Reviews  
Summary: “In this paper we investigate the existence of solutions on a compact interval to a three- and four-point boundary value problem for a class of second order differential inclusions.  ...  Summary: “In this note a fixed point theorem for condensing maps combined with upper and lower solutions is used to investigate existence of solutions for second order initial value problems for differential  ... 

Page 4781 of Mathematical Reviews Vol. , Issue 2000g [page]

2000 Mathematical Reviews  
for the existence and uniqueness of the solution of problem (1), (2) in terms of the coefficients of the equation (1), its right-hand side and the vectors xo and x}.  ...  domain methods for the solutions of n-order fuzzy differential equations.  ... 

Nth-order Fuzzy Differential Equations Under Generalized Differentiability

S. Salahshour
2011 Journal of Fuzzy Set Valued Analysis  
Also, an Existence and uniqueness theorem of solution of Nth-order fuzzy differential equations is proved under Nth-order generalized differentiability in Banach space.  ...  In this paper, the multiple solutions of Nth-order fuzzy differential equations by the equivalent integral forms are considered.  ...  Acknowledgment The author wants to thank Editor in Chief, Prof. Tofigh Allahviranloo and anonymous referees for their useful comments which improved the paper.  ... 
doi:10.5899/2011/jnaa-00043 fatcat:qmb4tb6de5ae7amniqhqbt7ftu

Nth-order Fuzzy Differential Equations Under Generalized Differentiability

S. Salahshour
2011 Journal of Fuzzy Set Valued Analysis  
Also, an Existence and uniqueness theorem of solution of Nth-order fuzzy differential equations is proved under Nth-order generalized differentiability in Banach space.  ...  In this paper, the multiple solutions of Nth-order fuzzy differential equations by the equivalent integral forms are considered.  ...  Acknowledgment The author wants to thank Editor in Chief, Prof. Tofigh Allahviranloo and anonymous referees for their useful comments which improved the paper.  ... 
doi:10.5899/2011/jfsva-00043 fatcat:fzi7kbbhtbf53p2z2zs2epgefe

A Hybrid Modified Approach for Solving Fuzzy Differential Equations

Alauldeen N. Ahmad, Basma A. Nema
2017 Asian Journal of Fuzzy and Applied Mathematics  
In this paper, a hybrid method is presented by combining Laplace transformation and variational iteration method for solving fuzzy differential equations with fuzzy initial and boundaries values.  ...  Then the method is implemented on the new problem in which two approaches has been built according to the formula of Lagrange multiplier obtaining the lower, upper and center solutions.  ...  The differentiability and inerrability properties of fuzzy-set-value damping of a real variable were studied by Kaleva [2] , he gave an existence and uniqueness theorem for a solution to a fuzzy differential  ... 
doi:10.24203/ajfam.v5i2.4478 fatcat:jkaxpnde3bhbbpcr3icbnhpita

Page 4035 of Mathematical Reviews Vol. , Issue 97G [page]

1997 Mathematical Reviews  
BartuSek, On existence of unbounded oscillatory solutions of the nth order differential equation (67 74); Vadim G. Bondarevsky [V. G.  ...  Gupta, Solvability of a general- ized multi-point boundary value problem of mixed type for second order ordinary differential equations (215-222); Maoan Han and Katie Jiang, The uniqueness of limit cycles  ... 

Page 5179 of Mathematical Reviews Vol. , Issue 2002G [page]

2002 Mathematical Reviews  
For a second-order ordinary differential equation with fuzzy ini- tial value conditions, the authors give numerical solutions by Nystrém’s formula and fuzzy simulation.  ...  ); Wen, Jun (PRC-NUDT-MEN; Changsha) Numerical solutions of a second-order differential equation in fuzzy initial value conditions.  ... 

Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

Falguni Acharya, Vandana Kushawaha, Jitendra Panchal, Dimplekumar Chalishajar
2021 Axioms  
In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem.  ...  We utilized the concepts of the fuzzy set theory, functional analysis, and the Hausdorff metric. In the conclusion, an illustration is given to bolster the hypothesis.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/axioms10020084 fatcat:qd2agzcnhfhdzprquwuxydqnka

Applications of Contractive-like Mapping Principles to Fuzzy Equations

Juan J. Nieto, Rosana Rodríguez López
2006 Revista Matemática Complutense  
We recall a recent extension of the classical Banach fixed point theorem to partially ordered sets and justify its applicability to the study of the existence and uniqueness of solution for fuzzy and fuzzy  ...  differential equations.  ...  of a unique solution for first-order ordinary differential equations with periodic boundary conditions.  ... 
doi:10.5209/rev_rema.2006.v19.n2.16599 fatcat:qfdxw6bcffgyblhrzvs7eszlea

Page 1365 of Mathematical Reviews Vol. , Issue 2004b [page]

2004 Mathematical Reviews  
,N} and #/ = {1 from the Lax-Milgram Lemma there follows the existence of a unique solution to the problem (2).  ...  Numerical solution of fuzzy differential equation. (English summary) Math. Comput. Appl. 7 (2002), no. 1, 41-52.  ... 

Type-2 Fuzzy Initial Value Problems for Second-order T2FDEs [article]

Norihiro Someyama, Hiroaki Uesu, Kimiaki Shinkai, Shuya Kanagawa
2021 arXiv   pre-print
Type-2 fuzzy differential equations (T2FDEs) of order 1 are already known and the solution method of type-2 fuzzy initial value problems (T2FIVPs) for them was given by M. Mazandarani and M.  ...  We give the solution method of second-order T2FIVPs in this paper. Furthermore, we would like to propose new notations for type-2 fuzzy theory where symbols tend to be complicated and misleading.  ...  We have four candidate solutions for type-1 fuzzy differential equations of order 2, but we have eight of them for type-2 ones of order 2.  ... 
arXiv:2101.10324v2 fatcat:jvodtlo6xvcvpei5kqupiad5ea

Symmetric Fuzzy Stochastic Differential Equations with Generalized Global Lipschitz Condition

Marek T. Malinowski
2020 Symmetry  
The paper contains a discussion on solutions to symmetric type of fuzzy stochastic differential equations.  ...  The symmetric equations under study have drift and diffusion terms symmetrically on both sides of equations.  ...  Acknowledgments: The author would like to thank the anonymous referees for their constructive comments. Conflicts of Interest: The author declares no conflict of interest.  ... 
doi:10.3390/sym12050819 fatcat:zfawkpj7n5fkfndolhl5v7dyce

Page 534 of Mathematical Reviews Vol. , Issue 84b [page]

1984 Mathematical Reviews  
These concepts are very interesting and are useful for the development of the analysis of fuzzy systems, the study of fuzzy differential equations and other applications. 84b:26010c O.  ...  One proves existence of W, f(t); the other expresses W, f in terms of J, g for a suitable g, in order to treat Theorem 2 like Theorem 1.  ... 

Solution of fuzzy singular integral equation with Abel's type kernel using a novel hybrid method

S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
2020 Advances in Difference Equations  
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel's integral equation of the second kind.  ...  The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel's integral equation will be converted into a system of integral equations as in a crisp case.  ...  Acknowledgements We are thankful to the reviewers for their careful reading and constructive suggestions which improved this paper considerably.  ... 
doi:10.1186/s13662-020-02623-y fatcat:7jbpuxnifbfm3d7lxwbtwf4t3q

Solving nth order fuzzy differential equation by fuzzy Laplace transform [article]

Latif Ahmad, Muhammad Farooq, Saleem Abdullah
2014 arXiv   pre-print
This is a simple approach toward the solution of nth order fuzzy initial value problem (FIVP) by the nth generalized (FLT) form, and then we can use it to solve any order of FIVP.  ...  concept, we use it in an analytical solution method for the solution of an nth order fuzzy initial value problem (FIVP).  ...  In the near past Allahviranloo, Kaini and Barkhordari [5] introduced an approach toward the existence and uniqueness to solve a second order FIVP.  ... 
arXiv:1403.0242v1 fatcat:q3gkwpty2vgztpqqnyyndqnpfy
« Previous Showing results 1 — 15 out of 16,683 results