Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations

By Bashir Ahmad, J. J. Nieto. 2009

166 citations recorded by the source corpus.

We study some existence results in a Banach space for a nonlocal boundary value problem involving a nonlinear differential equation of fractional order given by , , , , , , , . Our results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/60750bf740d90e445ffe16cd8f1ef7c87e75d35f

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In Applied Mathematics

1. Yinghan Zhang
2. Ashwini D. Mali
3. Zhanbing Bai
4. Kishor D. Kucche

In Modeling and Simulation

1. Yinghan Zhang
2. Ashwini D. Mali
3. Zhanbing Bai
4. Kishor D. Kucche

Citations in the corpus

• Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, background): “From (18), (19), and (23), it follows that the y defined by Equation (17) satisfies the problem (8)–(10).”
• Existence of solutions for nonlinear fractional three-point boundary value problems at resonance (2011, background): “For some recent results on this topic, see [2–5, 13–18, 22–26] and the references therein.”