Results 21 to 30 of about 596 (184)

FRACTIONAL CALCULUS APPROACH IN RLCCIRCUIT USING HYPERGEOMETRIC SERIES

, 2021
In this paper, fractional calculus approach is applied in solving differential equationwhich is associated with an electrical circuit i.e. RLC circuit using hypergeometric series.The solution of the fractional differential equation of RLC circuit comes ...
Sushil Kumar Dhaneliya, Manoj Sharma
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Existence and stability results for nonlocal initial value problems for differential equations with Hilfer fractional derivative [PDF]

, 2018
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of nonlocal initial value problems for differential equations with Hilfer’s fractional derivative.
BENCHOHRA, Mouffak, BOURIAH, Soufyane, NIETO, Juan J.   +2 more
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Hermite-Hadamard type inequalities for product of GA-convex functions via Hadamard fractional integrals [PDF]

, 2017
In this paper, some Hermite-Hadamard type inequalities for products of two GA-convex functions via Hadamard fractional integrals are established. Our results about GA-convex functions are analogous generalizations for some other results proved by ...
KUNT, Mehmet, İȘCAN, İmdat
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Existence and stability of fractional differential equations involving generalized Katugampola derivative [PDF]

, 2020
The present article deals with the existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative.
BHAIRAT, Sandeep P.
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Fractional calculus, zeta functions and Shannon entropy

Open Mathematics, 2021
This paper deals with the fractional calculus of zeta functions. In particular, the study is focused on the Hurwitz ζ\zeta function. All the results are based on the complex generalization of the Grünwald-Letnikov fractional derivative.
Guariglia Emanuel
doaj   +1 more source

Calculus of variations with fractional derivatives and fractional

, 2020
: We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville. Mathematics
Torres, F M Delfim, Ricardo Almeida
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Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]

, 2012
MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core  

Generalized Fractional Integral Operators Involving the H―-Function and Their Applications to Special Functions

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak, B. K. Tripathi, Biniyam Shimelis   +2 more
doaj   +1 more source

A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

Open Mathematics, 2016
In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with
Eghbali Nasrin, Kalvandi Vida, Rassias John M.   +2 more
doaj   +1 more source

Fractional Dynamics of Nonlinear Liquid Dispersion Pattern Drops: A Robust Analytical Study of Modulation Instability and Compacton Structures

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel, Mohammad Izadi, Hany M. Ahmed, Rajesh Kumar   +3 more
wiley   +1 more source