Monotone iterative technique for periodic problem involving Riemann-Liouville fractional derivatives in Banach spaces

DOI10.1186/S13661-018-1037-4zbMath1499.34043OpenAlexW2883600681WikidataQ129473657 ScholiaQ129473657MaRDI QIDQ2126431

Yonghong Ding, Yongxiang Li

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-1037-4

zbMATH Keywords

lower and upper solutionsconemeasure of noncompactnessmonotone iterative techniquefractional differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Classical Banach spaces in the general theory (46B25) Fractional ordinary differential equations (34A08)

Related Items (3)

Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions ⋮ Qualitative analysis of fractional relaxation equation and coupled system with \(\Psi\)-Caputo fractional derivative in Banach spaces ⋮ Monotone iterative method for fractional differential equations with integral boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument
• Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative
• On the concept of solution for fractional differential equations with uncertainty
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Nagumo-type uniqueness result for fractional differential equations
• Basic theory of fractional differential equations
• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• On initial and boundary value problems for fractional order mixed type functional differential inclusions
• Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives
• Existence of periodic solution for a nonlinear fractional differential equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Extremal solutions for some periodic fractional differential equations
• Positive solutions of boundary value problems for fractional order differential equations by monotonic iteration method
• Existence of positive solution for some class of nonlinear fractional differential equations
• Existence of positive periodic solutions of some nonlinear fractional differential equations
• On the existence of blow up solutions for a class of fractional differential equations
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: Monotone iterative technique for periodic problem involving Riemann-Liouville fractional derivatives in Banach spaces