Results 51 to 60 of about 2,624 (188)

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Controllability of psi-Hilfer fractional differential equations with infinite delay via measure of noncompactness

Nonlinear Analysis
In this article, we study the controllability of ψ-Hilfer fractional differential equations with infinite delay. Sufficient conditions for controllability results are obtained by using the notion of the measure of noncompactness and the Mönch fixed ...
Inzamamul Haque, Javid Ali, Juan J. Nieto   +2 more
doaj   +1 more source

Subordination Pathways to Fractional Diffusion

, 2011
The uncoupled Continuous Time Random Walk (CTRW) in one space-dimension and under power law regime is splitted into three distinct random walks: (rw_1), a random walk along the line of natural time, happening in operational time; (rw_2), a random walk ...
D. Fulger, D. Kleinhans, E. Barkai, E. Scalas, F. Mainardi, F. Mainardi, F. Mainardi, G. Germano, H.C. Fogedby, M.M. Meerschaert, M.M. Meerschaert, R. Gorenflo, R. Gorenflo, R. Hilfer, R. Hilfer, R. Metzler, Y. Zhang, Z. Tomovski   +17 more
core   +1 more source

A Review of Certain Modern Special Functions and Their Applications

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed, Mohamed Abdalla, AbdelMaksoud Soliman   +2 more
wiley   +1 more source

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 more
wiley   +1 more source

FRACTIONAL CAUCHY PROBLEMS ASSOCIATED WITH THE BI-ORDINAL HILFER FRACTIONAL q-DERIVATIVE

, 2022
To study the existence and uniqueness of solutions to Cauchy-type problems for fractional q-difference equations with the bi-ordinal Hilfer fractional q-derivative which is an extension of the Hilfer fractional q-derivative. An approach is based on the equivalence of the nonlinear Cauchy-type problem with a nonlinear Volterra q-integral equation of the
Karimov, Erkinjon, Ruzhansky, Michael, Shaimardan, Serikbol   +2 more
openaire   +2 more sources

On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics

, 2011
We revisit the Mittag-Leffler functions of a real variable $t$, with one, two and three order-parameters $\{\alpha, \beta, \gamma\}$, as far as their Laplace transform pairs and complete monotonicty properties are concerned. These functions, subjected to
de Oliveira, Edmundo Capelas, Mainardi, Francesco, Vaz Jr, Jayme   +2 more
core   +1 more source

FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS AND Ψ–HILFER FRACTIONAL DERIVATIVE

Mathematical Modelling and Analysis, 2019
Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to another function. We show that weighted Cauchy-type problem is equivalent to a Volterra integral equation, we also prove the existence, uniqueness of solutions and Ulam-Hyers stability of this problem ...
Mohammed S. Abdo, Satish K. Panchal, Hussein S. Hussein   +2 more
openaire   +5 more sources

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2022
Abstract In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and uniqueness of the solution of the proposed problem in the weighted space of ...
Dhawan Kanika, Vats Ramesh Kumar, Agarwal Ravi P.   +2 more
openaire   +2 more sources