Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory
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DOI: 10.1007/s11012-021-01364-w
Abstract: In this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator is approximated by means of modified basic rules of numerical integration. The three proposed methods… read more here.
Keywords: derivative variable; riesz caputo; variable order; caputo fractional ... See more keywords
Existence and uniqueness of solutions to Riesz-Caputo impulsive fractional boundary value problems
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DOI: 10.1080/09720502.2020.1826629
Abstract: Abstract This paper concerns the existence and uniqueness of solutions for a class of impulsive fractional initial/boundary value problems of the Riesz-Caputo differential equation. Numerical examples are given to illustrate the theoretical findings. read more here.
Keywords: existence uniqueness; boundary value; value problems; impulsive fractional ... See more keywords
Anti-periodic boundary value problems with Riesz–Caputo derivative
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DOI: 10.1186/s13662-019-2001-z
Abstract: This paper is concerned with a class of anti-periodic boundary value problems for fractional differential equations with the Riesz–Caputo derivative, which can reflected both the past and the future nonlocal memory effects. By means of… read more here.
Keywords: riesz caputo; periodic boundary; boundary value; caputo derivative ... See more keywords