Karthik Muthusamy
Research areas: Mathematics · Modeling and Simulation · Fractional Differential Equations Solutions · Nonlinear Differential Equations Analysis · Fuzzy Systems and Optimization
0000-0001-6507-3698
About
I am a Ph.D. researcher in Mathematics specializing in Differential Equations and stochastic fractional differential equations. My research focuses on the existence, uniqueness, and stability analysis of stochastic systems involving tempered Phi-type Caputo fractional derivatives, Gaussian and Lévy noise, impulses, and nonlocal conditions. My work employs analytical techniques such as fixed-point theory and contraction mapping methods to investigate complex stochastic dynamical systems. I am interested in fractional calculus, stochastic analysis, and mathematical modelling, with a long-term goal of contributing to research and higher education as an academician.
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Publications (11)
- Exactness of the solution to the stochastic fractional impulsive differential equations Save
- Analysis on weighted fractional stochastic delay integro-differential equations Save
- The role of averaging principle in stochastic fractional delay integro-differential equations Save
- Fractional impulsive differential systems: Stochastic perspectives with nonlocal conditions Save
- Exactness of solution to the stochastic fractional impulsive differential equations Save
- Analysis on weighted fractional stochastic delay integro-differential equations Save
- Fractional impulsive differential systems: Stochastic perspectives with nonlocal conditions Save
- Fractional stochastic differential equations and degree theory: a unified perspective Save
- Dynamical behavior of tempered φ-Caputo type fractional order stochastic differential equations driven by Lévy noise Save
- EXPLORING STOCHASTIC FRACTIONAL DELAY INTEGRODIFFERENTIAL SYSTEM Save
- Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach Save