Results 31 to 40 of about 1,041 (176)

Some New Application of Extended Wright Function

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Pallavi Sharma   +3 more
doaj   +1 more source

Generalized Composite Fractional Derivatives and Integral Operators With Incomplete R‐Function Kernels

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit   +4 more
wiley   +1 more source

Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions.
Zahed Ahmed   +2 more
doaj   +1 more source

Basic and fractional q-calculus and associated Fekete-Szegő problem for p-valently q-starlike functions and p-valently q-convex functions of complex order

open access: yesMiskolc Mathematical Notes, 2019
In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between ...
H. Srivastava   +3 more
semanticscholar   +1 more source

A Study of an Extended q‐Mittag−Leffler Function and Its Image Formula Under the Kober Fractional q‐Calculus Operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study uses the q‐calculus to present an innovative extension of the q‐Mittag−Leffler function. Next, we examine some of its notable characteristics, including image formula under the Kober fractional q‐calculus operator, recurrence relation and convergence, q‐integral transform, integral representations, and q‐derivative formulas.
Mulugeta Dawud Ali   +2 more
wiley   +1 more source

Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S.   +3 more
doaj   +1 more source

On some properties of the conformable fractional derivative

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
doaj   +1 more source

Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation

open access: yesNonlinear Engineering, 2023
In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation.
Alquran Marwan   +3 more
doaj   +1 more source

On Hermite-Hadamard type inequalities for multiplicative fractional integrals

open access: yesMiskolc Mathematical Notes, 2020
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
H. Budak, K. Özçelik
semanticscholar   +1 more source

Composition Formula for Saigo Fractional Calculus Operator on  p R q  Function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we use the Saigo operators to create fractional integral and derivative formulations involving the generalized p R q function. The resulting expressions are represented using generalized Wright hypergeometric functions. We develop various results for fractional integrals and derivatives of the Weyl, Erdélyi–Kober, Saigo, and Riemann ...
Belete Debalkie   +2 more
wiley   +1 more source

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