Abstract
Here, in this article, we study some existence results of monotonic integrable solutions for a nonlinear hybrid implicit functional differential inclusion of arbitrary fractional orders. We derive the sufficient conditions for the uniqueness of the solution. We also prove the continuous dependence of the solution which we have presented here.
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Srivastava, H.M., El-Sayed, A.M.A., Hashem, H.H.G. et al. Analytical investigation of nonlinear hybrid implicit functional differential inclusions of arbitrary fractional orders. RACSAM 116, 26 (2022). https://doi.org/10.1007/s13398-021-01166-5
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DOI: https://doi.org/10.1007/s13398-021-01166-5
Keywords
- Measure of noncompactness
- Darbo fixed point theorem
- Monotonic integrable solutions
- Hybrid implicit initial conditions
- Riemann–Liouville fractional integral
- Liouville–Caputo fractional derivative
- Uniqueness of the solution
- Continuous dependence of the solution
- Arzela–Ascoli Theorem
- Lebesgue Dominated Convergence Theorem