On the existence and stability analysis for \(\varPsi\)-Caputo fractional boundary value poblem

DOI10.1007/978-981-19-7272-0_18MaRDI QIDQ6203611

Deepak B. Pachpatte, Bhagwat R. Yewale

Publication date: 5 April 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

zbMATH Keywords

stabilityfixed point theoremfractional differential equationsGronwall inequality\(\varPsi\)-Caputo fractional derivative

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Cites Work

• On Caputo modification of the Hadamard fractional derivatives
• Recent applications of fractional calculus to science and engineering
• A Caputo fractional derivative of a function with respect to another function
• Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with \(\psi\)-Caputo derivative
• On the \(\psi\)-Hilfer fractional derivative
• On the nonlinear \(varPsi\)-Hilfer fractional differential equations
• Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
• Existence, uniqueness, approximation of solutions and Ealpha-Ulam stability results for a class of nonlinear fractional differential equations involving psi-Caputo derivative with initial conditions
• ON THE NONLINEAR IMPULSIVE Ψ–HILFER FRACTIONAL DIFFERENTIAL EQUATIONS
• Fractional Calculus in Medical and Health Science
• On the Ulam‐Hyers stabilities of the solutions of Ψ‐Hilfer fractional differential equation with abstract Volterra operator
• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
• A study of the fractional‐order mathematical model of diabetes and its resulting complications
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