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Existence and uniqueness of nonlinear fractional differential equations with the Caputo and the Atangana-Baleanu derivatives: Maximal, minimal and Chaplygin approaches.
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- AIMS Mathematics, 2024, v. 9, n. 10, p. 1, doi. 10.3934/math.20241282
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- Article
Ferromagnetic Chaos in thermal convection of fluid through fractal–fractional differentiations.
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- Journal of Thermal Analysis & Calorimetry, 2022, v. 147, n. 15, p. 8461, doi. 10.1007/s10973-021-11179-2
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- Article
Thermophysical properties of Maxwell Nanofluids via fractional derivatives with regular kernel.
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- Journal of Thermal Analysis & Calorimetry, 2022, v. 147, n. 1, p. 449, doi. 10.1007/s10973-020-10287-9
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- Article
Porous effects on the fractional modeling of magnetohydrodynamic pulsatile flow: an analytic study via strong kernels.
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- Journal of Thermal Analysis & Calorimetry, 2021, v. 146, n. 2, p. 689, doi. 10.1007/s10973-020-10027-z
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- Article
Heat and mass transfer in Maxwell fluid in view of local and non-local differential operators.
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- Journal of Thermal Analysis & Calorimetry, 2021, v. 143, n. 6, p. 4313, doi. 10.1007/s10973-020-09383-7
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- Article
Thermal stratification of rotational second-grade fluid through fractional differential operators.
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- Journal of Thermal Analysis & Calorimetry, 2021, v. 143, n. 4, p. 3667, doi. 10.1007/s10973-020-09312-8
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- Article
Theoretical and numerical analysis of a chaotic model with nonlocal and stochastic differential operators.
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- International Journal of Optimization & Control: Theories & Applications, 2023, v. 13, n. 2, p. 181, doi. 10.11121/ijocta.2023.1398
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- Article
Preface.
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- International Journal of Optimization & Control: Theories & Applications, 2017, v. 7, n. 3, p. 5, doi. 10.11121/ijocta.01.2017.00581
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- Article
Analysis of nonlinear ordinary differential equations with the generalized Mittag-Leffler kernel.
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- Mathematical Biosciences & Engineering, 2023, v. 20, n. 11, p. 19763, doi. 10.3934/mbe.2023875
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- Article
Mathematical analysis and numerical simulation for fractal-fractional cancer model.
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- Mathematical Biosciences & Engineering, 2023, v. 20, n. 10, p. 18083, doi. 10.3934/mbe.2023803
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- Article
Analytical and numerical investigation of the Hindmarsh-Rose model neuronal activity.
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- Mathematical Biosciences & Engineering, 2023, v. 20, n. 1, p. 1434, doi. 10.3934/mbe.2023065
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- Article
Piecewise derivatives versus short memory concept: analysis and application.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 8, p. 8601, doi. 10.3934/mbe.2022399
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- Article
Deterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 4, p. 3526
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- Article
Rhythmic behaviors of the human heart with piecewise derivative.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 3, p. 3091, doi. 10.3934/mbe.2022143
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- Article
New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points.
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- Mathematical Biosciences & Engineering, 2021, v. 18, n. 6, p. 8683, doi. 10.3934/mbe.2021430
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- Article
EXISTENCE RESULTS AND NUMERICAL STUDY ON NOVEL CORONAVIRUS 2019-NCOV/ SARS-COV-2 MODEL USING DIFFERENTIAL OPERATORS BASED ON THE GENERALIZED MITTAG-LEFFLER KERNEL AND FIXED POINTS.
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- Fractals, 2022, v. 30, n. 8, p. 1, doi. 10.1142/S0218348X22402149
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- Article
SOME CHAOTIC MATHEMATICAL MODELS WITH STOCHASTIC RESETTING.
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- Fractals, 2022, v. 30, n. 8, p. 1, doi. 10.1142/S0218348X22402125
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- Article
EDITORIAL: SPECIAL ISSUE ON PIECEWISE DIFFERENTIATION AND INTEGRATION: A NEW MATHEMATICAL APPROACH TO CAPTURE COMPLEX REAL-WORLD PROBLEMS WITH CROSSOVER BEHAVIORS.
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- 2022
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- Editorial
DETERMINISTIC AND STOCHASTIC ANALYSIS OF A COVID-19 SPREAD MODEL.
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- Fractals, 2022, v. 30, n. 5, p. 1, doi. 10.1142/S0218348X22401636
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- Article
LOCAL AND NONLOCAL DIFFERENTIAL OPERATORS: A COMPARATIVE STUDY OF HEAT AND MASS TRANSFERS IN MHD OLDROYD-B FLUID WITH RAMPED WALL TEMPERATURE.
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- Fractals, 2020, v. 28, n. 8, p. N.PAG, doi. 10.1142/S0218348X20400332
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- Article
ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS.
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- Fractals, 2020, v. 28, n. 8, p. N.PAG, doi. 10.1142/S0218348X20400447
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- Article
CAUCHY PROBLEMS WITH FRACTAL–FRACTIONAL OPERATORS AND APPLICATIONS TO GROUNDWATER DYNAMICS.
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- Fractals, 2020, v. 28, n. 8, p. N.PAG, doi. 10.1142/S0218348X20400435
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- Article
PREFACE: Special Issue on Fractal and Fractional with Applications to Nature.
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- Fractals, 2020, v. 28, n. 8, p. N.PAG, doi. 10.1142/S0218348X20020016
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- Article
Threshold dynamics for an age‐structured heroin epidemic model with distributed delays.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 13, p. 13595, doi. 10.1002/mma.9275
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- Article
Some stochastic chaotic attractors with global derivative and stochastic fractal mapping: Existence, uniqueness and applications.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 7, p. 7875, doi. 10.1002/mma.7262
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- Article
Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey.
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- Mathematical Methods in the Applied Sciences, 2022, v. 45, n. 3, p. 1189, doi. 10.1002/mma.7846
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- Article
New chaotic attractors: Application of fractal‐fractional differentiation and integration.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 4, p. 3036, doi. 10.1002/mma.6432
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- Article
Numerical solution of nonlinear fractal‐fractional optimal control problems by Legendre polynomials.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 4, p. 2952, doi. 10.1002/mma.6326
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- Article
On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative.
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- Mathematical Problems in Engineering, 2014, p. 1, doi. 10.1155/2014/542809
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- Article
On Multi-Laplace Transform for Solving Nonlinear Partial Differential Equations with Mixed Derivatives.
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- Mathematical Problems in Engineering, 2014, p. 1, doi. 10.1155/2014/267843
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- Article
On the Agaciro Equation via the Scope of Green Function.
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- Mathematical Problems in Engineering, 2014, p. 1, doi. 10.1155/2014/201796
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- Article
Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems.
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- Mathematical Problems in Engineering, 2014, p. 1, doi. 10.1155/2014/107535
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- Article
Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind.
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- Mathematical Problems in Engineering, 2013, p. 1, doi. 10.1155/2013/981526
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- Article
Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation.
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- Mathematical Problems in Engineering, 2013, p. 1, doi. 10.1155/2013/853127
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- Article
A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order.
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- Mathematical Problems in Engineering, 2013, p. 1, doi. 10.1155/2013/696597
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- Article
The Use of Fractional Order Derivative to Predict the Groundwater Flow.
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- Mathematical Problems in Engineering, 2013, p. 1, doi. 10.1155/2013/543026
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- Article
A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities.
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- Mathematical Problems in Engineering, 2013, p. 1, doi. 10.1155/2013/531984
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- Article
Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method.
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- Mathematical Problems in Engineering, 2013, p. 1, doi. 10.1155/2013/318590
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- Article
Modeling the Enzyme Kinetic Reaction.
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- Acta Biotheoretica, 2015, v. 63, n. 3, p. 239, doi. 10.1007/s10441-015-9253-0
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- Article
Extension of Chaplygin's existence and uniqueness method for fractal-fractional nonlinear differential equations.
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- AIMS Mathematics, 2024, v. 9, n. 3, p. 1, doi. 10.3934/math.2024280
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- Article
A successive midpoint method for nonlinear differential equations with classical and Caputo-Fabrizio derivatives.
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- AIMS Mathematics, 2023, v. 8, n. 11, p. 27309, doi. 10.3934/math.20231397
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- Article
Analysis of fractional global differential equations with power law.
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- AIMS Mathematics, 2023, v. 8, n. 10, p. 24699, doi. 10.3934/math.20231259
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- Article
Piecewise differential equations: theory, methods and applications.
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- AIMS Mathematics, 2023, v. 8, n. 7, p. 1, doi. 10.3934/math.2023785
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- Article
Analysis of a deterministic-stochastic oncolytic M1 model involving immune response via crossover behaviour: ergodic stationary distribution and extinction.
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- AIMS Mathematics, 2023, v. 8, n. 2, p. 3236, doi. 10.3934/math.2023167
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- Article
Numerical analysis of some partial differential equations with fractalfractional derivative.
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- AIMS Mathematics, 2023, v. 8, n. 1, p. 2240, doi. 10.3934/math.2023116
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- Article
Advanced analysis in epidemiological modeling: detection of waves.
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- AIMS Mathematics, 2022, v. 7, n. 10, p. 18010, doi. 10.3934/math.2022992
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- Article
Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate.
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- Scientific Reports, 2023, v. 13, n. 1, p. 1, doi. 10.1038/s41598-022-27265-w
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- Article
ANALYSIS OF A NONLINEAR MODEL OF INTERPERSONAL RELATIONSHIPS WITH TIME FRACTIONAL DERIVATIVE.
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- Journal of Mathematical Analysis, 2016, v. 7, n. 2, p. 1
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- Article
On the Nonlinear Perturbation K(n,m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave.
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- Advances in Mathematical Physics, 2015, p. 1, doi. 10.1155/2015/746327
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- Article
A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives.
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- Mathematical Methods in the Applied Sciences, 2020, v. 43, n. 17, p. 9681, doi. 10.1002/mma.6638
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- Article