Mixed fractional differential equation with nonlocal conditions in Banach spaces

DOI10.22124/jmm.2021.18439.1582zbMath1499.34034OpenAlexW3130284438MaRDI QIDQ5025116

Abdellatif Boutiara

Publication date: 1 February 2022

Full work available at URL: https://jmm.guilan.ac.ir/article_4609_d62226793e9621e109382e4761d71a46.pdf

zbMATH Keywords

Banach spacesexistencenonlocal boundary conditionsHausdorff measure of noncompactnessDarbo's fixed point theoremright Caputo and left Riemann-Liouville fractional derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items

Fractional \(p\)-Laplacian differential equations with multi-point boundary conditions in Banach spaces ⋮ Analysis and applications of sequential hybrid \(\psi\)-Hilfer fractional differential equations and inclusions in Banach algebra

Cites Work

• On the application of measure of noncompactness to the existence of solutions for fractional differential equations
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Fractional differential equations in electrochemistry
• Multivalued perturbations of \(m\)-accretive differential inclusions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem
• Existence of solutions for a mixed fractional boundary value problem
• Fractional hybrid differential equations with three-point boundary hybrid conditions
• Fractional order differential systems involving right Caputo and left Riemann-Liouville fractional derivatives with nonlocal coupled conditions
• Chaotic behaviour of fractional predator-prey dynamical system
• Caputo-Hadamard fractional differential equations in Banach spaces
• Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces
• Some generalizations of Darbo fixed point theorem and applications
• Punti uniti in trasformazioni a codominio non compatto
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator
• Theorem about existence and uniqueness of continuous solution of nonlocal problem for nonlinear hyperbolic equation
• Existence theory for nonlocal boundary value problems involving mixed fractional derivatives
• Advances in Fractional Calculus
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item