Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces

By Dumitru Băleanu, Ravi P. Agarwal, H. Mohammadi, Sh. Rezapour. 2013

94 citations recorded by the source corpus.

By using fixed point results on cones, we study the existence and uniqueness of positive solutions for some nonlinear fractional differential equations via given boundary value problems. Examples are presented in order to illustrate the obtained results.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/a545dd12c51ce29be173ad979612455e8eba8c0e

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In Applied Mathematics

1. Sh. Rezapour
2. Aziz Khan
3. Dumitru Băleanu
4. Sina Etemad
5. Hasib Khan
6. Wen Chen
7. Ahmed Alsaedi
8. Cemil Tunç

In Geometry and Topology

1. Sina Etemad
2. Sh. Rezapour
3. Dumitru Băleanu
4. Hasib Khan
5. Cemil Tunç
6. Thabet Abdeljawad

In Modeling and Simulation

1. Dumitru Băleanu
2. Sh. Rezapour
3. Aziz Khan
4. Hasib Khan
5. Sina Etemad
6. Ahmed Alsaedi
7. Wen Chen
8. Cemil Tunç

Citations in the corpus

• Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator (2018, background): “[6] proved existence of solution for a nonlinear FDE on partially ordered Banach spaces and provided applications.”
• On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative (2016, background): “Also, the existence results for several nonlinear fractional differential equations were reported in [8].”