A new Definition of Fractional Derivative without Singular Kernel

Keywords

Kernel (algebra), Mathematics, Laplace transform, Fractional calculus, Fourier transform

References

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Cited by

• The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernelAdrian Herwig, Philip Paar — 2018
• Analysis of the Keller-Segel Model with a Fractional Derivative without Singular KernelAbdon Atangana, Badr Saad T. Alkahtani — 2015
• Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticityVikash Pandey, Sven Peter Näsholm, Sverre Holm — 2015
• Three-Point Boundary Value Problems for Conformable Fractional Differential EquationsH. Batarfi, Jorge Losada, Juan J. Nieto — 2015
• Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular KernelJ. F. Gómez‐Aguilar, H. Yépez-Martínez, C. Calderón-Ramón — 2015
• Existence results for mixed Hadamard and Riemann-Liouville fractional integro-differential equationsBashir Ahmad, Sotiris K. Ntouyas, Jessada Tariboon — 2015
• Properties of a New Fractional Derivative without Singular KernelJorge Losada, Juan J. Nieto, Saudi Arabia — 2015
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equationAbdon Atangana — 2016
• Fractional electrical circuitsAhmed Alsaedi, Juan J. Nieto, Venktesh Venktesh — 2015
• Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernelAbdon Atangana, Badr Saad T. Alkahtani — 2015
• A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat FlowXiao‐Jun Yang, H. M. Srivastava, J. A. Tenreiro Machado — 2015
• Duplication in a model of rock fracture with fractional derivative without singular kernelEmile Franc Doungmo Goufo, Morgan Kamga Pene, Jeanine Mwambakana — 2015
• Some new applications for heat and fluid flows via fractional derivatives without singular kernelXiao‐Jun Yang, Zhizhen Zhang, H. M. Srivastava — 2016
• Note on fractional Mellin transform and applicationsAdem Kılıçman, Maryam Omran — 2016
• New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer ModelAbdon Atangana, Dumitru Bǎleanu — 2016
• On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional DerivativeAhmed Alsaedi, Dumitru Bǎleanu, Sina Etemad — 2016
• Solving fractal steady heat-transfer problems with the local fractional Sumudu transformYi Wang, Xiaoxu Lü, Carlo Cattanic — 2015
• Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivativeJordan Hristov — 2016
• Application of the Caputo-Fabrizio Fractional Derivative without Singular Kernel to Korteweg-de Vries-Burgers Equation∗Emile Franc Doungmo Goufo — 2016
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional orderAbdon Atangana, İlknur Koca — 2016

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