Well-posedness and Ulam-Hyers stability of Hilfer fractional differential equations of order \((1,2]\) with nonlocal boundary conditions

DOI10.1016/j.bulsci.2024.103401OpenAlexW4391848951MaRDI QIDQ6190026

Ramesh Kumar Vats, Kanika Dhawan, Anurag Shukla, Ankit Kumar Nain

Publication date: 5 March 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2024.103401

zbMATH Keywords

existence and uniquenessfractional differential equationsimplicitUlam-Hyers stabilitynonlocalHilfer fractional derivative

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Fixed-point theorems (47H10) Perturbations of ordinary differential equations (34D10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Cites Work

• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• General stability of functional equations of linear type
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Generalized stability of the Cauchy functional equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
• Hyers-Ulam stability of linear differential equations of first order.
• On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
• Monotone iterative technique for Hilfer fractional evolution equations with nonlocal conditions
• On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations
• Implicit fractional differential equations via the Liouville-Caputo derivative
• GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
• Note on a Stability Theorem
• Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions
• Fractional Calculus and Fractional Differential Equations
• Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative
• A theoretical study of the fractional-order \(p\)-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam-Hyers stability
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