Existence and uniqueness analysis of solutions for Hilfer fractional spectral problems with applications

DOI10.1007/s40314-020-01382-6zbMath1461.34008OpenAlexW3119531546MaRDI QIDQ2027691

Erdal Bas, Ahu Ercan, Ramazan Ozarslan

Publication date: 28 May 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01382-6

zbMATH Keywords

Laplace transformfractional derivativeseigenvalueseigenfunctionsBanach fixed point theoremSturm-Liouville

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Fractional ordinary differential equations (34A08)

Related Items

Non-existence results for a nonlinear fractional system of differential problems, Quasilinear coupled system in the frame of nonsingular ABC-derivatives with \(p\)-Laplacian operator at resonance, Hilfer fractional stochastic system driven by mixed Brownian motion and Lêvy noise suffered by non-instantaneous impulses

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