Measure of Noncompactness and Fractional Differential Equations in Frechet Spaces

By Fatima Mesri, Mouffak Benchohra, J. Henderson. Dynamic systems and applications, 2020

66 citations recorded by the source corpus.

In this paper, the existence of solutions for an initial value problem of a fractional differential equation is obtained by means of Monch's fixed point theorem and the technique of measures of noncompactness. AMS (MOS) Subject Classification. 26A33, 34B10, 34G20

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/b814855f810a0de3a440402fe154cc84d2e99453

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Mouffak Benchohra
2. Saïd Abbas
3. J. Henderson
4. N. Hamidi
5. Jinrong Wang
6. Yong Zhou
7. Ravi P. Agarwal
8. Sotiris K. Ntouyas

In Control and Systems Engineering

1. Mouffak Benchohra
2. Saïd Abbas
3. J. Henderson

In Modeling and Simulation

1. Mouffak Benchohra
2. Saïd Abbas
3. J. Henderson
4. N. Hamidi
5. Yong Zhou
6. Jinrong Wang
7. Ravi P. Agarwal
8. A. Vityuk

Citations in the corpus

• Caputo-Hadamard fractional differential equations in banach spaces (2018, methodology): “Recently, in [9, 10, 11] the measure of noncompactness was applied to some classes of functional Riemann–Liouville or Caputo fractional differential equations in Banach spaces.”