On Fractional Order Hybrid Differential Equations

By Mohamed A. E. Herzallah, Dumitru Băleanu. 2014

83 citations recorded by the source corpus.

We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order . Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a4ef0ff6407df78f020b8b2aae2a97afd6d9b5b2

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In Applied Mathematics

1. Aziz Khan
2. Hasib Khan
3. Ashwini D. Mali
4. Wen Chen
5. Kishor D. Kucche
6. Cemil Tunç

In Modeling and Simulation

1. Aziz Khan
2. Hasib Khan
3. Ashwini D. Mali
4. Wen Chen
5. Kishor D. Kucche
6. Cemil Tunç

In Numerical Analysis

1. Ashwini D. Mali
2. Wen Chen
3. Aziz Khan
4. Hasib Khan
5. Kishor D. Kucche
6. 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): “Dhage and Jadhav [14] studied the EUS of the ordinary hybrid differential equation of first order with perturbation of second type d dt ( u(t)− f(t, u(t)) ) = h(t, u(t)), u(t0) = u0 ∈ R. (1.2) Herzallah and Baleanu [18] considered the EUS for the following first type and second type hybrid FDEs Dϵ (”
• On the Nonlinear $\Psi$-Hilfer Hybrid Fractional Differential Equations (2020, background): “Other related works on the hybrid FDEs may be found in [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16].”