Reza Saadati

ORCID: 0000-0002-6770-6951
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Research Areas
  • Fixed Point Theorems Analysis
  • Functional Equations Stability Results
  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Fuzzy and Soft Set Theory
  • Mathematical and Theoretical Analysis
  • Advanced Topics in Algebra
  • Numerical methods for differential equations
  • Optimization and Variational Analysis
  • Fuzzy Systems and Optimization
  • Approximation Theory and Sequence Spaces
  • Advanced Banach Space Theory
  • Matrix Theory and Algorithms
  • Differential Equations and Boundary Problems
  • Nonlinear Waves and Solitons
  • Iterative Methods for Nonlinear Equations
  • Advanced Differential Geometry Research
  • advanced mathematical theories
  • Multi-Criteria Decision Making
  • Algebraic and Geometric Analysis
  • Advanced Operator Algebra Research
  • Mathematical Inequalities and Applications
  • Differential Equations and Numerical Methods
  • Rough Sets and Fuzzy Logic
  • Advanced Optimization Algorithms Research

Iran University of Science and Technology
2016-2025

Duy Tan University
2021

Islamic Azad University, Karaj
2017

Amirkabir University of Technology
2006-2014

University of Science and Technology of Mazandaran
2012-2013

Islamic Azad University, Science and Research Branch
2010-2012

Islamic Azad University, Tehran
2005-2011

Shomal University
2007-2011

Islamic Azad University of Ayatollah Amoli
2005-2010

University of Mazandaran
2008

10.1016/j.chaos.2005.03.019 article EN Chaos Solitons & Fractals 2005-07-02

10.1007/bf02936069 article EN Journal of Applied Mathematics and Computing 2005-03-01

Abstract In this article, we study coupled coincidence and common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions. Our results generalize modify several comparable the literature. 2000 MSC : 54H25; 47H10; 54E50.

10.1186/1687-1812-2012-8 article EN cc-by Fixed Point Theory and Applications 2012-01-26

Considering the importance of using nonlinear evolution equations in investigation many natural phenomena, this paper, we consider [Formula: see text]-dimensional Date–Jimbo–Kashiwara–Miwa ([Formula: DJKM) equation, will investigate solutions for equation. Using multiple exp functions method, obtain analytical which are one-soliton, two-soliton and three-soliton these include three categories soliton wave solutions, i.e., one-wave two-wave solutions. We have performed all calculations with a...

10.1142/s0217979224500437 article EN International Journal of Modern Physics B 2023-03-16

10.1016/j.amc.2007.04.070 article EN Applied Mathematics and Computation 2007-04-30

10.1016/j.aml.2010.06.005 article EN publisher-specific-oa Applied Mathematics Letters 2010-06-11

10.1016/j.camwa.2010.08.055 article EN Computers & Mathematics with Applications 2010-09-17

This study explores bifurcation phenomena in the nonlinear time-dependent Schrödinger equation and related models, applying Kudryashov's methods to find exact solutions. It extends analysis time fractional space-time modified Benjamin-Bona-Mahony with beta derivatives for dynamics. The paper derives analytical solutions, highlighting impact of on wave propagation. A shows how parameter changes affect system behavior, visual representations solutions illustrating influence parameters...

10.1038/s41598-025-94391-6 article EN cc-by-nc-nd Scientific Reports 2025-03-22

10.1016/j.chaos.2006.01.023 article EN Chaos Solitons & Fractals 2006-03-01

Recently, the stability of cubic functional equation in fuzzy normed spaces was proved earlier work; and additive equations random as well. In this paper, we prove by an alternative proof which provides a better estimation. Finally, quartic spaces.

10.1155/2008/902187 article EN cc-by Journal of Inequalities and Applications 2008-01-01

Abstract Recently, Khamsi and Hussain (Nonlinear Anal. 73:3123-3129, 2010) discussed a natural topology defined on any metric type space noted that this enjoys most of the like properties. In paper, we define topologically complete metrizable prove being metrizability is preserved under countable Cartesian product establish fact <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>G</mml:mi> <mml:mi>δ</mml:mi> </mml:msub> </mml:math> set in space. Next, introduce...

10.1186/1687-1812-2014-88 article EN cc-by Fixed Point Theory and Applications 2014-04-03

Using the trial equation method (TEM) and modified (MTEM), firstly, we find analytical solutions of conformable time-fractional nonlinear Schrödinger (CTFMNLSE), finally, present numerical results in tables charts.

10.1155/2022/4318192 article EN cc-by Advances in Mathematical Physics 2022-02-01

In this paper, we apply the well-known aggregation mappings on Mittag-Leffler-type functions to investigating new approximation error estimates of a W-Hilfer fractional differential equation, by different concept Ulam-type stability in both bounded and unbounded domains.

10.3390/axioms12070681 article EN cc-by Axioms 2023-07-11

We apply Mittag–Leffler-type functions to introduce a class of matrix-valued fuzzy controllers which help us propose the notion multi-stability (MS) and obtain approximate solutions fractional differential equations in spaces. The concept multi stability allows different approximations depending on special that are initially chosen. Additionally, using various properties function Mittag–Leffler type, we study Ulam–Hyers (UHS) models.

10.3390/math11061386 article EN cc-by Mathematics 2023-03-13
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