Existence results for coupled differential equations of non-integer order with Riemann-Liouville, Erdélyi-Kober integral conditions

DOI10.3934/math.2021752OpenAlexW3200198234MaRDI QIDQ2142872

Yanyan Li

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021752

zbMATH Keywords

existencefixed pointcoupled systemCaputo derivativesErdélyi-Kober integralsRiemann-Liouville integrals

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Cites Work

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• System of fractional differential equations with Erdélyi-Kober fractional integral conditions
• On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
• Positive solutions for Caputo fractional differential system with coupled boundary conditions
• Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Unique solutions for a new coupled system of fractional differential equations
• A coupled system of generalized Sturm-Liouville problems and Langevin fractional differential equations in the framework of nonlocal and nonsingular derivatives
• Reliability index and Asian barrier option pricing formulas of the uncertain fractional first-hitting time model with Caputo type
• Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations
• On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders
• Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions
• Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
• Existence of solutions for a class of coupled fractional differential systems with nonlocal boundary conditions
• Chaos, control and synchronization of a fractional order rotational mechanical system with a centrifugal governor
• Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions
• Monotonicity theorem for the uncertain fractional differential equation and application to uncertain financial market
• Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions
• A coupled system of nonlinear Caputo–Hadamard Langevin equations associated with nonperiodic boundary conditions
• Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
• RELIABILITY INDEX AND OPTION PRICING FORMULAS OF THE FIRST-HITTING TIME MODEL BASED ON THE UNCERTAIN FRACTIONAL-ORDER DIFFERENTIAL EQUATION WITH CAPUTO TYPE
• On Caputo-Hadamard Type Fractional Differential Equations with Nonlocal Discrete Boundary Conditions
• Analysis of fractional boundary value problem with non local flux multi-point conditions on a Caputo fractional differential equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach