SOME RESULTS OF EXISTENCE AND CONTINUOUS DEPENDENCE ON ψ- HILFER FRACTIONAL INTEGRODIFFRENTIAL EQUATIONS

In this paper, we study the existence and uniqueness results of the solutions for nonlinear fractional Volterra integral and integrodifferential equations involving ψ-Hilfer fractional derivative. The tools used in the analysis are fractional-order integral inequalities and an adequate norm k.kη,∞ in Banach space. Besides, we study their continuous dependence.

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Publication Details

Journal
jnanabha
Published
2025-01-01
DOI
https://doi.org/10.58250/jnanabha.2025.55122
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

SOME RESULTS OF EXISTENCE AND CONTINUOUS DEPENDENCE ON ψ- HILFER FRACTIONAL INTEGRODIFFRENTIAL EQUATIONS

Deepak B‎. ‎Pachpatte, Seema S. Ubale
jnanabha
Spectral Theory in Mathematical Physics
article

SOME RESULTS OF EXISTENCE AND CONTINUOUS DEPENDENCE ON ψ- HILFER FRACTIONAL INTEGRODIFFRENTIAL EQUATIONS

Deepak B‎. ‎Pachpatte, Seema S. Ubale
article en

Abstract

In this paper, we study the existence and uniqueness results of the solutions for nonlinear fractional Volterra integral and integrodifferential equations involving ψ-Hilfer fractional derivative. The tools used in the analysis are fractional-order integral inequalities and an adequate norm k.kη,∞ in Banach space. Besides, we study their continuous dependence.

jnanabhaVol. 55(01)
Openalex Percentile: Top 75%
Spectral Theory in Mathematical Physics
DOISourceOpenAlex
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SOME RESULTS OF EXISTENCE AND CONTINUOUS DEPENDENCE ON ψ- HILFER FRACTIONAL INTEGRODIFFRENTIAL EQUATIONS — Deepak B‎. ‎Pachpatte, Seema S. Ubale · jnanabha (2025) | TGRS Research Map | TGRS