Ahmet YILDIRIM
Fen Fakültesi, Matematik Bölümü, Uygulamalı Matematik Anabilim Dalı
Research areas: Natural Sciences, Mathematics, Computer Sciences, Physics, Numerical Analysis, Engineering and Technology, Interdisciplinary Physics and Related Science and Technology Areas, Geotechnical Engineering, Chemistry, Physical Chemistry
Publications
- From Immune-Cold to Immune-Hot Tumors: A Fractional Immunomodulation Framework with Topological Signatures (2026)
- Foundational Challenges in Proximal and Digital Topological Complexity: A Critical Review of Recent Developments (2026)
- A DNA-inspired physics-informed machine learning framework for singular Lane–Emden type equations (2026)
- A Physics-Informed Fractional Framework for Modeling Post-Earthquake Disaster Risk, Public Health Burden, and Recovery Dynamics (2026)
- Exploring Theoretical Insights and Applications of the JSN Integral Transform (2024)
- A novel approach to fractional differential equations via JSN transform coupled fractional residual power series method (2024)
- Nonlinear analysis of irregular temperature distribution in a heat exchanger using fractional derivative (2022)
- Dynamical behaviour of a tumour-immune model focusing on the dosage of targeted chemotherapeutic drug (2022)
- Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves (2022)
- Increased Severe Cases and New-Onset Type 1 Diabetes Among Children Presenting With Diabetic Ketoacidosis During First Year of COVID-19 Pandemic in Turkey (2022)
- Studying the Thermal Analysis of Rectangular Cross Section Porous Fin: A Numerical Approach (2021)
- Semi-analytic treatment of mixed hyperbolic–elliptic Cauchy problem modeling three-phase flow in porous media (2021)
- Revised reduced differential transform method using Adomian’s polynomials with convergence analysis (2020)
- A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators (2020)
- On the new extensions to the Benjamin-Ono equation (2020)
- A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force (2020)
- Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint (2020)
- Dynamics of an SAIQR influenza model of fractional order via convex incidence rate (2020)
- On a Hybrid Technique to Handle Analytical and Approximate Solutions of Linear and Nonlinear Fractional Order Partial Differential Equations (2019)
- The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst (2019)
- Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel (2019)
- Fractional Multi-Step Differential Transformed Method for Approximating a Fractional Stochastic SIS Epidemic Model with Imperfect Vaccination (2019)
- Chaos in a calcium oscillation model via Atangana-Baleanu operator with strong memory (2019)
- Heat Transfer on Fractionalized Micropolar Nanofluid over Oscillating Plate via Caputo-Fabrizio Fractional Operator (2019)
- A comparative analysis of sulfate SO4−2 ion concentration via modern fractional derivatives: An industrial application to cooling system of power plant (2019)
- Fractional Treatment of Vibration Equation Through Modern Analogy of Fractional Differentiations Using Integral Transforms (2019)
- Mathematical application of a non-local operator in language evolutionary theory (2019)
- The residual power series method for the one-dimensional unsteady flow of a van der Waals gas (2018)
- Approximate analytical solution of the time-fractional Camassa-Holm, modified Camassa-Holm, and Degasperis-Procesi equations by homotopy perturbation method (2016)
- Approximate analytical solution of the time-fractional Camassa-Holm, modified Camassa-Holm, and Degasperis-Procesi equations by homotopy perturbation method (2016)
- Approximate periodic solution for nonlinear jerk equation as a third-order nonlinear equation via modified differential transform method (2014)
- APPLICATION OF HIGHER ORDER HAMILTONIAN APPROACH TO NONLINEAR VIBRATING SYSTEMS (2013)
- CNOIDAL WAVES, SOLITARY WAVES AND PAINLEVE ANALYSIS OF THE 5TH ORDER KDV EQUATION WITH DUAL-POWER LAW NONLINEARITY (2013)
- TOPOLOGICAL SOLITONS AND OTHER SOLUTIONS OF THE ROSENAU-KdV EQUATION WITH POWER LAW NONLINEARITY (2013)
- Homotopy Analysis Method for Fractional Reaction-Diffusion Equation with Ecological Parameters (2013)
- A NOVEL HYBRID SPECTRAL-VARIATIONAL ITERATION METHOD (H-S-VIM) FOR SOLVING NONLINEAR EQUATIONS ARISING IN HEAT TRANSFER (2013)
- Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations (2013)
- A generalization of the Bernoulli’s method applied to brachistochrone-like problems (2013)
- Solution of time‐fractional generalized Hirota‐Satsuma coupled KdV equation by generalised differential transformation method (2013)
- Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method (2013)
- Solution of the heat equation in the cast-mould heterogeneous domain using a weighted algorithm based on the homotopy perturbation method (2013)
- Using perturbation methods and Laplace-Padé approximation to solve nonlinear problems (2013)
- Some exact solutions to the generalized Korteweg-de Vries equation and the system of shallow water wave equations (2013)
- Optical Soliton Perturbation with Improved Nonlinear Schrodinger's Equation in Nano Fibers (2013)
- A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations (2013)
- Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations (2013)
- Perturbation of shallow water waves by semi-inverse variational principle (2013)
- TOPOLOGICAL SOLITONS AND LIE SYMMETRY ANALYSIS FOR THE KADOMTSEV-PETVIASHVILI-BURGERS EQUATION WITH POWER LAW NONLINEARITY IN DUSTY PLASMAS (2013)
- SOLITONS AND OTHER SOLUTIONS TO THE (3+1)-DIMENSIONAL EXTENDED KADOMTSEV-PETVIASHVILI EQUATION WITH POWER LAW NONLINEARITY (2013)
- SOLUTIONS OF A COUPLED WAVE EQUATION (2013)
- Sampling of Discontinuous Dirac Systems (2013)
- A novel hybrid spectral-variational iteration method (H-S-VIM) for solving nonlinear equations arising in heat transfer (2013)
- Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials (2013)
- A new formula for fractional integrals of Chebyshev polynomials: Application for solving multi-term fractional differential equations (2013)
- On the Analytic Solution for a Steady Magnetohydrodynamic Equation (2013)
- Homotopy analysis method for the one‐dimensional hyperbolic telegraph equation with initial conditions (2013)
- TOPOLOGICAL SOLITONS AND OTHER SOLUTIONS TO POTENTIAL KORTEWEG-DE VRIES EQUATION (2013)
- Homotopy analysis and homotopy Padé methods for (1+1) and (2+1)‐dimensional dispersive long wave equations (2013)
- Homotopy Padé method for solving second-order one-dimensional telegraph equation (2013)
- APPLICATION OF HIGHER ORDER HAMILTONIAN APPROACH TO NONLINEAR VIBRATING SYSTEMS (2013)
- Homotopy Analysis Method for Time-Fractional Schrödinger Equations (2012)
- Approximate analysis of population dynamics with density‐dependent migrations and the Allee effects (2012)
- Retraction: “Homotopy perturbation method to obtain exact special solutions with solitary patterns for Boussinesq-like B ( m , n ) equations with fully nonlinear dispersion” [J. Math. Phys. 50, 023510 (2009)] (2012)
- NUMERICAL SOLUTION OF LR FUZZY HUNTER-SAXETON EQUATION BY USING HOMOTOPY ANALYSIS METHOD (2012)
- Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time‐fractional KdV‐Burgers‐Kuramoto equation (2012)
- CHIRAL SOLITONS WITH BOHM POTENTIAL USING G '/G METHOD AND EXP-FUNCTION METHOD (2012)
- Application of homotopy perturbation and numerical methods to the circular porous slider (2012)
- Nonlinear Problems: Analytical and Computational Approach with Applications (2012)
- Numerical Solution of MHD Flow over a Nonlinear Porous Stretching Sheet (2012)
- New exact traveling wave solutions for DS-I and DS-II equations (2012)
- An algorithm for solving the fractional vibration equation (2012)
- Analytical approximations for a conservative nonlinear singular oscillator in plasma physics (2012)
- Numerical Simulation of Fractional Fornberg‐Whitham Equation by Differential Transformation Method (2012)
- The differential transform method and Padé approximants for a fractional population growth model (2012)
- Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis (2012)
- On numerical solution to fractional non-linear oscillatory equations (2012)
- Oscillatory parabolic law optical spatial solitons (2012)
- Numerical Solution of MHD Flow over a Nonlinear Porous Stretching Sheet (2012)
- APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS (2012)
- Topological Soliton and Other Exact Solutions to KdV–Caudrey–Dodd–Gibbon Equation (2012)
- A relationship between three analytical approaches to nonlinear problems (2012)
- BRIGHT AND DARK SOLITONS OF THE MODIFIED COMPLEX GINZBURG LANDAU EQUATION WITH PARABOLIC AND DUAL-POWER LAW NONLINEARITY (2012)
- SOLITON PERTURBATION THEORY FOR THE GENERALIZED KLEIN-GORDON EQUATION WITH FULL NONLINEARITY (2012)
- CHIRAL SOLITONS WITH BOHM POTENTIAL BY LIE GROUP ANALYSIS AND TRAVELING WAVE HYPOTHESIS (2012)
- A Fractional Model of Gas Dynamics Equations and its Analytical Approximate Solution Using Laplace Transform (2012)
- Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation (2012)
- Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation (2012)
- Chaotic systems via multi-step differential transformation method (2012)
- Determinant solutions to a (3+1)-dimensional generalized KP equation with variable coefficients (2012)
- Homotopy analysis method for space‐ and time‐fractional KdV equation (2012)
- TOPOLOGICAL AND NON-TOPOLOGICAL SOLITONS OF A GENERALIZED DERIVATIVE NONLINEAR SCHRODINGER'S EQUATION WITH PERTURBATION TERMS (2012)
- Solution of the MHD Falkner‐Skan flow by Adomian decomposition method and Padé approximants (2012)
- Application of Differential Transformation Method for Numerical Computation of Regularized LongWave Equation (2012)
- Application of homotopy perturbation and numerical methods to the magneto‐micropolar fluid flow in the presence of radiation (2012)
- Numerical solution of time‐fraction modified equal width wave equation (2012)
- Poincaré-MacMillan Equations of Motion for a Nonlinear Nonholonomic Dynamical System (2012)
- TOPOLOGICAL AND NON-TOPOLOGICAL SOLITON SOLUTIONS OF THE BRETHERTON EQUATION (2012)
- SHOCK WAVE SOLUTION OF BENNEY-LUKE EQUATION (2012)
- Application of homotopy perturbation and numerical methods to the circular porous slider (2012)
- Soliton solutions to coupled nonlinear wave equations in (2 + 1)-dimensions (2012)