Coupled systems of Hilfer fractional differential inclusions in Banach spaces

DOI10.3934/CPAA.2018118zbMath1396.26008OpenAlexW2805706744WikidataQ129685885 ScholiaQ129685885MaRDI QIDQ1660069

Mouffak Benchohra, Saïd Abbas, John R. Graef

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018118

zbMATH Keywords

measure of noncompactnesscoupled systemfractional differential inclusionHilfer fractional derivativeHilfer-Hadamard fractional derivativeleft-sided mixed Riemann-Liouville and Hadamard integrals of fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Ordinary differential inclusions (34A60)

Related Items (3)

Attractivity for differential equations of fractional order and \(\psi\)-Hilfer type ⋮ Coupled Hilfer fractional differential systems with random effects ⋮ Weak solutions for Caputo-Pettis fractional q-difference inclusions

Cites Work

• Existence and uniqueness for a problem involving hilfer fractional derivative
• On a differential equation involving Hilfer-Hadamard fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Basic theory of fractional differential equations
• General uniqueness and monotone iterative technique for fractional differential equations
• Measures of noncompactness in metric fixed point theory
• Fixed point theorems for set-valued maps and existence principles for integral inclusions
• Well-posedness and stability for a differential problem with Hilfer-Hadamard fractional derivative
• Existence results for fractional order functional differential equations with infinite delay
• On fractional Cauchy-type problems containing Hilfer's derivative
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces
• Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses
• Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses
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