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9 papers · 1 filter
On Impulsive Delay Integrodifferential Equations with Integral Impulses
Kishor D. Kucche, Pallavi U. Shikhare
The present research paper is devoted to investigate the existence, uniqueness of mild solutions for impulsive delay integrodifferential equations with integral impulses in Banach…
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…
On the Nonlinear -Hilfer Fractional Differential Equations
Kishor D. Kucche, Ashwini D. Mali, J. Vanterler da C. Sousa
We consider the nonlinear Cauchy problem for - Hilfer fractional differential equations and investigate the existence, interval of existence and uniqueness of solution in the w…
Singular points in the solution trajectories of fractional order dynamical systems
Sachin Bhalekar, Madhuri Patil
Dynamical systems involving non-local derivative operators are of great importance in Mathematical analysis and applications. This article deals with the dynamics of fractional ord…
Estimating transport coefficients of interacting pion gas with K-matrix cross sections
Guruprasad Kadam, Swapnali Pawar, Hiranmaya Mishra
We estimate the transport coefficients, , shear and bulk viscosities as well as thermal and electrical conductivities, of hot pionic matter using relativistic Boltzmann equat…
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…