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A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

https://doi.org/10.2298/tsci151224222y
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Local Fractional Integral Transforms and their Applications
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Implicit local radial basis function method for solving two-dimensional time fractional diffusion equations

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Stability results for partial fractional differential equations with noninstantaneous impulses
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Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
inferred← citeshttps://doi.org/10.1186/s13662-017-1152-zopenalex-snapshot
Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives
inferred← citeshttps://doi.org/10.1186/s13662-017-1237-8openalex-snapshot
The composition of extended Mittag-Leffler functions with pathway integral operator
inferred← citeshttps://doi.org/10.1186/s13662-017-1260-9openalex-snapshot
An efficient scheme for solving a system of fractional differential equations with boundary conditions
inferred← citeshttps://doi.org/10.1186/s13662-017-1354-4openalex-snapshot
On a system of fractional finite difference inclusions
inferred← citeshttps://doi.org/10.1186/s13662-017-1371-3openalex-snapshot
Nonlinear sequential fractional differential equations with nonlocal boundary conditions
inferred← citeshttps://doi.org/10.1186/s13662-017-1397-6openalex-snapshot
Dynamic k-Struve Sumudu solutions for fractional kinetic equations
inferred← citeshttps://doi.org/10.1186/s13662-017-1417-6openalex-snapshot
Multi-quasi-synchronization of coupled fractional-order neural networks with delays via pinning impulsive control
inferred← citeshttps://doi.org/10.1186/s13662-018-1594-yopenalex-snapshot
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
inferred← citeshttps://doi.org/10.1186/s13662-018-1596-9openalex-snapshot
Certain fractional calculus formulas involving extended generalized Mathieu series
inferred← citeshttps://doi.org/10.1186/s13662-018-1728-2openalex-snapshot
Optimal error bound and modified kernel method for a space-fractional backward diffusion problem
inferred← citeshttps://doi.org/10.1186/s13662-018-1827-0openalex-snapshot
Arbitrary order fractional differential equations and inclusions with new integro-multipoint boundary conditions
inferred← citeshttps://doi.org/10.1186/s13662-018-1914-2openalex-snapshot
On fractional derivatives with generalized Mittag-Leffler kernels
inferred← citeshttps://doi.org/10.1186/s13662-019-2040-5openalex-snapshot
Fractional-order modelling of state-dependent non-associated behaviour of soil without using state variable and plastic potential
inferred← citeshttps://doi.org/10.1186/s13662-019-2082-8openalex-snapshot
Analytical solution of the generalized Bagley–Torvik equation
inferred← citeshttps://doi.org/10.1186/s13662-019-2115-3openalex-snapshot
Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations
inferred← citeshttps://doi.org/10.1186/s13662-019-2348-1openalex-snapshot
Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation
inferred← citeshttps://doi.org/10.1186/s13662-019-2413-9openalex-snapshot
Periodic pulse control of Hopf bifurcation in a fractional-order delay predator–prey model incorporating a prey refuge
inferred← citeshttps://doi.org/10.1186/s13662-019-2463-zopenalex-snapshot
Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
inferred← citeshttps://doi.org/10.1186/s13662-020-02621-0openalex-snapshot
Estimations of fractional integral operators for convex functions and related results
inferred← citeshttps://doi.org/10.1186/s13662-020-02951-zopenalex-snapshot
Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series
inferred← citeshttps://doi.org/10.1186/s13662-020-03067-0openalex-snapshot
Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox–Wright functions
inferred← citeshttps://doi.org/10.11948/2156-907x.20180309openalex-snapshot
NEW PREDICTOR-CORRECTOR APPROACH FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS: ERROR ANALYSIS AND STABILITY
inferred← citeshttps://doi.org/10.14393/ufu.te.2022.5025openalex-snapshot
Resolução de problemas de controle ótimo fracionários aplicados à engenharia
inferred← citeshttps://doi.org/10.1515/ijnsns-2013-0044openalex-snapshot
Existence of Solutions of a New Class of Impulsive Initial Value Problems of Singular Nonlinear Fractional Differential Systems
inferred← citeshttps://doi.org/10.1515/ijnsns-2016-0089openalex-snapshot
A Lagrange Regularized Kernel Method for Solving Multi-dimensional Time-Fractional Heat Equations
inferred← citeshttps://doi.org/10.1515/ijnsns-2017-0009openalex-snapshot
Solvability of Anti-periodic BVPs for Impulsive Fractional Differential Systems Involving Caputo and Riemann–Liouville Fractional Derivatives
inferred← citeshttps://doi.org/10.1515/ijnsns-2020-0051openalex-snapshot
Anthropogenic climate change on a non-linear arctic sea-ice model of fractional Duffing oscillator
inferred← citeshttps://doi.org/10.1515/nleng-2022-0024openalex-snapshot
An analytical approach for Shehu transform on fractional coupled 1D, 2D and 3D Burgers’ equations
inferred← citeshttps://doi.org/10.15388/na.2019.2.5openalex-snapshot
Stability analysis of fractional differential equations with unknown parameters
inferred← citeshttps://doi.org/10.18185/erzifbed.1220243openalex-snapshot
On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation
inferred← citeshttps://doi.org/10.18514/mmn.2023.4124openalex-snapshot
On the new fractional operators generating modified gamma and beta functions
inferred← citeshttps://doi.org/10.20852/ntmsci.2016422308openalex-snapshot
Boundary-value problems for fractional heat equation involving Caputo-Fabrizio derivative
inferred← citeshttps://doi.org/10.20852/ntmsci.2020.393openalex-snapshot
Properties of Caputo-Fabrizio fractional operators
inferred← citeshttps://doi.org/10.21595/jve.2017.18519openalex-snapshot
State feedback based fractional order control scheme for linear servo cart system
inferred← citeshttps://doi.org/10.2174/9781681085999118010013openalex-snapshot
Derivatives with Non-Singular Kernels from the Caputo-Fabrizio Definition and Beyond: Appraising Analysis with Emphasis on Diffusion Models
inferred← citeshttps://doi.org/10.22436/jnsa.009.06.14openalex-snapshot
An extension of Caputo fractional derivative operator and its applications
inferred← citeshttps://doi.org/10.22436/jnsa.009.07.10openalex-snapshot
On a nonlinear Hadamard type fractional differential equation with p-Laplacian operator and strip condition
inferred← citeshttps://doi.org/10.22436/jnsa.010.04.17openalex-snapshot
An efficient computational technique for local fractional heat conduction equations in fractal media
inferred← citeshttps://doi.org/10.22436/jnsa.010.04.63openalex-snapshot
Positive properties of the Green function for two-term fractional differential equations and its application
inferred← citeshttps://doi.org/10.22436/jnsa.010.05.01openalex-snapshot
Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation
inferred← citeshttps://doi.org/10.22436/jnsa.010.07.16openalex-snapshot
Twin solutions to semipositone boundary value problems for fractional differential equations with coupled integral boundary conditions
inferred← citeshttps://doi.org/10.22436/jnsa.010.07.19openalex-snapshot
Existence for fractional Dirichlet boundary value problem under barrier strip conditions
inferred← citeshttps://doi.org/10.22436/jnsa.010.08.18openalex-snapshot
New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws
inferred← citeshttps://doi.org/10.22436/jnsa.010.11.39openalex-snapshot
Nontrivial solutions for a fractional differential equation with nonlocal Riemann-Stieltjes boundary conditions
inferred← citeshttps://doi.org/10.22436/jnsa.010.12.04openalex-snapshot
Inequalities for new class of fractional integral operators
inferred← citeshttps://doi.org/10.2298/tsci160513036wopenalex-snapshot
A short review on analytical methods for fractional equations with he’s fractional derivative
inferred← citeshttps://doi.org/10.2298/tsci161216326yopenalex-snapshot
Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat transfer problems
inferred← citeshttps://doi.org/10.2298/tsci16s3717yopenalex-snapshot
On steady heat flow problem involving Yang-Srivastava-Machado fractional derivative without singular kernel
inferred← citeshttps://doi.org/10.2298/tsci16s3833yopenalex-snapshot
Some new applications for heat and fluid flows via fractional derivatives without singular kernel
inferred← citeshttps://doi.org/10.2298/tsci170129096kopenalex-snapshot
A new fractional model for convective straight fins with temperature-dependent thermal conductivity
inferred← citeshttps://doi.org/10.2298/tsci170308197gopenalex-snapshot
On linear viscoelasticity within general fractional derivatives without singular kernel
inferred← citeshttps://doi.org/10.2298/tsci170310194gopenalex-snapshot
General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems
inferred← citeshttps://doi.org/10.2298/tsci170610193yopenalex-snapshot
General fractional-order anomalous diffusion with non-singular power-law kernel
inferred← citeshttps://doi.org/10.2298/tsci17s1047lopenalex-snapshot
Analytical solution for the 1-D heat transfer equations with radiative loss
inferred← citeshttps://doi.org/10.2298/tsci17s1113wopenalex-snapshot
Solutions of the heat-conduction model described by fractional Emden-Fowler type equation
inferred← citeshttps://doi.org/10.2298/tsci180110344sopenalex-snapshot
Uncertain fractional operator with application arising in the steady heat flow
showing the first 200 of 247
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