Bicomplex Caputo derivative: a comparative study with bicomplex Riemann-Liouville operators and applications
type: Item
instance of: scholarly article
title: Bicomplex Caputo derivative: a comparative study with bicomplex Riemann-Liouville operators and applications
author: Mahesh Puri Goswami
author: Raj Kumar
published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
publication date: 2025-01-15T00:00:00Z
Mathematics Subject Classification ID: 30Gxx
Mathematics Subject Classification ID: 26Axx
Mathematics Subject Classification ID: 34Axx
zbMATH DE Number: 7967907
zbMATH Keywords: functions of bicomplex variable
zbMATH Keywords: idempotent representation
zbMATH Keywords: bicomplex gamma and beta functions
zbMATH Keywords: Riemann-Liouville operators of bicomplex order
zbMATH Keywords: Caputo derivative
MaRDI profile type: Publication
cites work: Q3141902
cites work: Q4233638
cites work: Applications of fractional calculus in physics
cites work: Fractional derivatives in complex planes
cites work: On the quantum mechanics of bicomplex Hamiltonian system
cites work: Q3385353
cites work: Application of bicomplex (quaternion) algebra to fundamental electromagnetics: a lower order alternative to the Helmholtz equation
cites work: Bochner theorem and applications of bicomplex Fourier-Stieltjes transform
cites work: Mellin transform in bicomplex space and its application
cites work: Q5260894
cites work: Q5004848
cites work: Cauchy type integral in bicomplex setting and its properties
cites work: Singularities of bicomplex holomorphic functions
cites work: Fractional elementary bicomplex functions in the Riemann-Liouville sense
cites work: Cauchy's formula on nonempty closed sets and a new notion of Riemann-Liouville fractional integral on time scales
cites work: Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems
cites work: A high-order scheme for time-space fractional diffusion equations with Caputo-Riesz derivatives
cites work: Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations
cites work: Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative
cites work: Bicomplex Holomorphic Functions
cites work: Q3999440
cites work: Q5434950
cites work: Riemann–Liouville fractional operators of bicomplex order and its properties
cites work: Fractional vector calculus and fractional Maxwell's equations
cites work: Q5258111
DOI: 10.1007/S40010-024-00885-9
description: scientific article; zbMATH DE number 7967907