Existence and stability of solution for multi-order nonlinear fractional differential equations
Leping Xie, Jueliang Zhou, Haiyun Deng, Yubo He
Abstract
<abstract><p>In this paper, relying on the Banach contraction mapping principle to discuss the existence of solution for a multi-order nonlinear fractional differential equations on the infinite interval $ [0, +\infty) $. Moreover the stability of Ulam-Hyers-Rassias and Ulam-Hyers to the initial value problem are obtained. An example that can illustrate the conclusions of this paper have been given at the end.</p></abstract>
Topics & Concepts
MathematicsNonlinear systemContraction principleBanach spaceMathematical analysisStability (learning theory)Interval (graph theory)Order (exchange)Initial value problemDifferential equationContraction mappingContraction (grammar)Applied mathematicsFixed-point theoremCombinatoricsPhysicsComputer scienceFinanceEconomicsMedicineQuantum mechanicsInternal medicineMachine learningFunctional Equations Stability ResultsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis