Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions
By Bashir Ahmad, J. J. Nieto. 2009
249 citations recorded by the source corpus.
This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order with integral boundary conditions. Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/c3bc4644c5e4ed5d8a5308b6a5f8135340cb6d31
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In Applied Mathematics
- Bashir Ahmad
- J. J. Nieto
- Saudi Arabia
- Sotiris K. Ntouyas
- Yong Zhou
- Ravi P. Agarwal
- Jinrong Wang
- Ahmed Alsaedi
In Modeling and Simulation
- Bashir Ahmad
- J. J. Nieto
- Saudi Arabia
- Sotiris K. Ntouyas
- Ahmed Alsaedi
- T. E. Simos
- Yong Zhou
- Jinrong Wang
Citations in the corpus
- Existence of solutions for fractional differential equations of order q∈(2,3] with anti-periodic boundary conditions (2010, background): “3 Main results To prove the main results, we need the following assumptions: (A1) ‖f (t, x)− f (t, y)‖ ≤ L‖x − y‖,∀t ∈ [0, T ], x, y ∈X; (A2) ‖f (t, x)‖ ≤ μ(t), ∀(t, x) ∈ [0,1] ×X, and μ ∈ L1([0, T ],R+).”