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4 papers · 1 filter
On tempered fractional calculus with respect to functions and the associated fractional differential equations
Ashwini D. Mali, Kishor D. Kucche, Arran Fernandez +1
The prime aim of the present paper is to continue developing the theory of tempered fractional integrals and derivatives of a function with respect to another function. This theory…
On the Ulam-Hyers stabilities of Ψ-Hilfer fractional differential equation by means of abstract Volterra operator
J. Vanterler da C. Sousa, Kishor D. Kucche, E. Capelas de Oliveira
In this paper, we consider the new class of the fractional differential equation involving the abstract Volterra operator in the Banach space and investigate existence, uniqueness…
Stability of -Hilfer Impulsive Fractional Differential Equations
J. Vanterler da C. Sousa, Kishor D. Kucche, E. Capelas de Oliveira
In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and δ-Ulam-Hyers-Rassias stability of an impulsive fractional differential equatio…
Analyzing stability of a delay differential equation involving two delays
Sachin Bhalekar
Analysis of the systems involving delay is a popular topic among applied scientists. In the present work, we analyze the generalized equation $D^α x(t) = g\left(x(t-τ_1), x(t-τ_2)\…