What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Surgery
- Quantum mechanics
The scientist’s investigation covers issues in Mathematical analysis, Homotopy analysis method, Homotopy perturbation method, Nonlinear system and Fractional calculus.
His studies in Mathematical analysis integrate themes in fields like Work and Variational iteration method.
His Homotopy analysis method study combines topics from a wide range of disciplines, such as Flow, Fokker–Planck equation, Spacetime and Poincaré–Lindstedt method.
He has researched Homotopy perturbation method in several fields, including Korteweg–de Vries equation, Traveling wave, Simple, Nonlinear oscillators and Classification of discontinuities.
His Nonlinear system research entails a greater understanding of Quantum mechanics.
Ahmet Yildirim interconnects Second derivative, Burgers' equation, Time derivative and Convergent series in the investigation of issues within Fractional calculus.
His most cited work include:
- Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method (168 citations)
- A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities (165 citations)
- Solutions of singular IVPs of Lane–Emden type by the variational iteration method (131 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Nonlinear system, Homotopy analysis method, Homotopy perturbation method and Applied mathematics.
His research in Differential equation, Partial differential equation, Fractional calculus, Series and Padé approximant are components of Mathematical analysis.
His study in Adomian decomposition method, Variational iteration method and Linearization falls under the purview of Nonlinear system.
Ahmet Yildirim works mostly in the field of Homotopy analysis method, limiting it down to topics relating to Numerical partial differential equations and, in certain cases, Stochastic partial differential equation, as a part of the same area of interest.
Ahmet Yildirim connects Homotopy perturbation method with Reliability in his study.
His Applied mathematics research incorporates themes from Mathematical optimization and Boundary value problem.
He most often published in these fields:
- Mathematical analysis (55.56%)
- Nonlinear system (32.58%)
- Homotopy analysis method (26.26%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (18.43%)
- Surgery (7.83%)
- Anesthesia (2.02%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Applied mathematics, Surgery, Anesthesia, Fractional calculus and Cellular network.
The Applied mathematics study combines topics in areas such as Order, Benjamin–Ono equation, Convergence, Differential and Nonlinear system.
His Order study combines topics in areas such as Harmonic balance, Nonlinear oscillators, Iterative method and Homotopy perturbation method.
His specific area of interest is Nonlinear system, where Ahmet Yildirim studies Algebraic equation.
His Ankle, Arthroscopy and Ulnar collateral ligament injury study, which is part of a larger body of work in Surgery, is frequently linked to In patient, bridging the gap between disciplines.
His work carried out in the field of Fractional calculus brings together such families of science as Integral transform and Order.
Between 2017 and 2021, his most popular works were:
- Chaos in a calcium oscillation model via Atangana-Baleanu operator with strong memory (35 citations)
- Fractional Treatment of Vibration Equation Through Modern Analogy of Fractional Differentiations Using Integral Transforms (22 citations)
- Resveratrol inhibits Src tyrosine kinase, STAT3, and Wnt signaling pathway in collagen induced arthritis model. (13 citations)
In his most recent research, the most cited papers focused on:
- Surgery
- Quantum mechanics
- Mathematical analysis
Ahmet Yildirim focuses on Applied mathematics, Fractional calculus, Operator, Anesthesia and Epidemic model.
His Applied mathematics research is multidisciplinary, relying on both Algebraic equation and Nonlinear system.
Ahmet Yildirim has included themes like Simple, Restoring force, Energy balance and Harmonic in his Algebraic equation study.
His work investigates the relationship between Nonlinear system and topics such as Power series that intersect with problems in Partial differential equation.
The study incorporates disciplines such as Integral transform, Deposition, Order, Volumetric flow rate and Power station in addition to Fractional calculus.
His studies deal with areas such as Facial paralysis, Statistical significance and Facial nerve as well as Anesthesia.
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