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Mohammed Al-Refai +2 more
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General Fractional Calculus Operators with the Sonin kernels and Some of Their Applications
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General fractional q-integrals and q-derivatives: a Sonin–Luchko q-kernel approach
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Generalising the fractional calculus with Sonine kernels via conjugations
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Mohammed Al-Refai, Arran Fernández
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Fractional differential equations with continuous variable coefficients and Sonine kernels
Communications in Nonlinear Science and Numerical SimulationWe study linear fractional ODEs with continuous variable coefficients and general fractional derivative (GFD) operators of Riemann-Liouville and Caputo types defined using Sonine kernels. Using the Banach fixed point theorem, we prove existence and uniqueness of solution functions in suitable function spaces, and we construct these solutions explicitly
Arran Fernández, Nazim Mahmudov
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On the fractional-in-time Keller-Segel model via Sonine kernels
In this paper, we study the existence and asymptotic behavior to a diffusion system which is non-local in time. As consequence of our theorems we deduce new results for the fractional-in-time Keller-Segel model. Our approach is intimately related with the Sonine kernels.
Masterson Costa +3 more
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Fuzzy general fractional operators with Sonine kernels under gH-differentiability
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guoju Ye
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Weighted 1st-level fractional derivatives with Sonine Kernels with respect to functions
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krunal Kachhia
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