Study on the existence and approximate solution of fractional differential equations with delay and its applications to financial models

DOI10.1007/S11868-021-00384-0zbMath1470.34217OpenAlexW3135957733WikidataQ115377534 ScholiaQ115377534MaRDI QIDQ2033465

Kazem Nouri

Publication date: 17 June 2021

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-021-00384-0

zbMATH Keywords

fractional derivativeSchauder fixed point theoremfinancial modelshybrid functionssystem of fractional differential equations with delay

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Theoretical approximation of solutions to functional-differential equations (34K07) Functional-differential equations with fractional derivatives (34K37)

Cites Work

• Unnamed Item
• A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
• A new approach for solving a system of fractional partial differential equations
• Operational matrix of fractional integration based on the shifted second kind Chebyshev polynomials for solving fractional differential equations
• Multiplicity of periodic solutions to symmetric delay differential equations
• Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
• Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion-wave equations
• Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Periodicity in a food-limited population model with toxicants and state dependent delays.
• New numerical approach for fractional variational problems using shifted Legendre orthonormal polynomials
• Existence results for a coupled system of fractional integro-differential equations with time-dependent delay
• On solving fractional logistic population models with applications
• Study on application of hybrid functions to fractional differential equations
• A predictor-corrector approach for the numerical solution of fractional differential equations
• An algorithm for the numerical solution of nonlinear fractional-order van der Pol oscillator equation
• Stability of logarithmic type for a Hadamard fractional differential problem
• A new operational approach for solving fractional variational problems depending on indefinite integrals
• New quadrature approach based on operational matrix for solving a class of fractional variational problems
• Study a class of nonlinear fractional non-autonomous evolution equations with delay
• On the Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay
• Three-point boundary value problems of fractional functional differential equations with delay
• Stability and Hopf Bifurcation for a Cell Population Model with State-Dependent Delay
• EXISTENCE RESULTS OF SOLUTIONS FOR SOME FRACTIONAL NEUTRAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

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