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Banach fixed-point theorem
OpenAlex ID:
C2780549194
Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
1991
·
Ludwik Byszewski
·
Journal of Mathematical Analysis and Applications
·
938
PDF
Existence results for fractional order functional differential equations with infinite delay
2007
·
M. Benchohra
, J. Henderson
, et al.
·
Journal of Mathematical Analysis and Applications
·
494
Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
1991
·
Ludwik Byszewski
, V. Lakshmikantham
·
Applicable Analysis
·
467
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
2017
·
Meilan Qiu
, Liquan Mei
, et al.
·
Advances in Difference Equations
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181
PDF
Distributed Pareto Optimization via Diffusion Strategies
2013
·
Jianshu Chen
, Ali H. Sayed
·
IEEE Journal of Selected Topics in Signal Processing
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175
PDF
Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
2005
·
Lishan Liu
, Fei Guo
, et al.
·
Journal of Mathematical Analysis and Applications
·
148
PDF
Existence and stability of almost periodic solution for BAM neural networks with delays
2002
·
Anping Chen
, Lihong Huang
, et al.
·
Applied Mathematics and Computation
·
144
Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives
2006
·
Varsha Daftardar-Gejji
, Hossein Jafari
·
Journal of Mathematical Analysis and Applications
·
137
Fractional differential equations with Atangana–Baleanu fractional derivative: Analysis and applications
2019
·
M.I. Syam
, Mohammed Al-Refai
·
Chaos Solitons & Fractals X
·
134
PDF
Controllability of semilinear stochastic systems in Hilbert spaces
2003
·
Nazim I. Mahmudov
·
Journal of Mathematical Analysis and Applications
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129
PDF
New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
2018
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C. Ravichandran
, N. Valliammal
, et al.
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Journal of the Franklin Institute
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126
A Numerical Verification Method for Solutions of Boundary Value Problems with Local Uniqueness by Banach's Fixed-Point Theorem
1998
·
Nobito Yamamoto
·
SIAM Journal on Numerical Analysis
·
122
Applications of fixed point theorems to the Hyers-Ulam stability of functional equations–a survey
2012
·
Krzysztof Ciepliński
·
Annals of Functional Analysis
·
121
PDF
Controllability of stochastic semilinear functional differential equations in Hilbert spaces
2003
·
J.P. Dauer
, N.I. Mahmudov
·
Journal of Mathematical Analysis and Applications
·
118
PDF
Best Proximity Points: Optimal Solutions
2011
·
S. Sadiq Basha
·
Journal of Optimization Theory and Applications
·
109
Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
2015
·
Kamal Shah
, Hammad Khalil
, et al.
·
Chaos Solitons & Fractals
·
108
Positive Solution to Nonzero Boundary Values Problem for a Coupled System of Nonlinear Fractional Differential Equations
2009
·
Jinhua Wang
, Hongjun Xiang
, et al.
·
International Journal of Differential Equations
·
102
PDF
On the Existence and Stability of a Neutral Stochastic Fractional Differential System
2022
·
Manzoor Ahmad
, Akbar Zada
, et al.
·
Fractal and Fractional
·
98
PDF
The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions and infinite delay
2010
·
Xianmin Zhang
, Xiyue Huang
, et al.
·
Nonlinear Analysis Hybrid Systems
·
96
Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays
2022
·
Xue Wang
, Danfeng Luo
, et al.
·
Chaos Solitons & Fractals
·
94
Wellposedness of Mean Field Games with Common Noise under a Weak Monotonicity Condition
2016
·
Saran Ahuja
·
SIAM Journal on Control and Optimization
·
92
PDF
Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
2011
·
Zigen Ouyang
·
Computers & Mathematics with Applications
·
89
PDF
Fixed Point Theory and the Ulam Stability
2014
·
Janusz Brzdęk
, Liviu Cădariu
, et al.
·
Journal of Function Spaces
·
87
PDF
Analysis of nonlinear fractional control systems in Banach spaces
2011
·
JinRong Wang
, Yong Zhou
·
Nonlinear Analysis
·
86
The analysis of a time delay fractional COVID‐19 model via Caputo type fractional derivative
2020
·
Pushpendra Kumar
, Vedat Suat Erturk
·
Mathematical Methods in the Applied Sciences
·
85
PDF
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