On a three step crisis integro-differential equation

By Dumitru Băleanu, Khadijeh Ghafarnezhad, Sh. Rezapour. Advances in Differential Equations, 2019

60 citations recorded by the source corpus.

One of the interesting fractional integro-differential equations is the three step crisis equation which has been reviewed recently. In this paper, we investigate the existence of solutions for a three step crisis fractional integro-differential equation under some boundary conditions.

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

View Paper: https://www.semanticscholar.org/paper/079659f89450639861d36efa01556feffbe69b51

Citations in the corpus

• Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, unknown): “Using Equations (43) and (47), we have |z(t) − 𝑦(t)| = |||||z(t) − [ (𝛹 (t) − 𝛹 (a))𝜉−1Ã𝑦 + 1 Γ(𝜇) ∫ t a 𝛹 ′(s)(𝛹 (t) − 𝛹 (s))𝜇−1g𝑦(s)ds ]||||| ≤ |||||z(t) − (𝛹 (t) − 𝛹 (a))𝜉−1Ãz − 1Γ(𝜇) ∫ t a 𝛹 ′(s)(𝛹 (t) − 𝛹 (s))𝜇−1gz(s)ds ||||| + ||||| 1Γ(𝜇) ∫ t a 𝛹 ′(s)(𝛹 (t) − 𝛹 (s))𝜇−1g”